{"id":516,"date":"2026-04-04T07:28:34","date_gmt":"2026-04-04T11:28:34","guid":{"rendered":"https:\/\/codlico.com\/?post_type=tools&#038;p=516"},"modified":"2026-07-17T11:11:55","modified_gmt":"2026-07-17T15:11:55","slug":"average-calculator","status":"publish","type":"tools","link":"https:\/\/codlico.com\/tools\/average-calculator\/","title":{"rendered":"Average Calculator: Get Mean, Median, Sum, Rang and More"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A number set may have more than one valuable piece of information in it. The average will provide you the overall numerical center, the median will give you the middle number, and the range will tell you about the difference between the smallest and the largest number. Looking at all these pieces of information in one place is more informative than the basic calculator, which provides one output at a time.<\/p>\n\n\n\n<h2 id=\"h-how-to-calculate-the-average\" class=\"wp-block-heading\">How to Calculate the Average<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">For calculation of the average for a group of numbers:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Add up all the numbers.<\/li>\n\n\n\n<li>Count the number of values present.<\/li>\n\n\n\n<li>Divide their sum by the number of values.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean formula is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mover><mi>x<\/mi><mo stretchy=\"false\" class=\"tml-xshift\" style=\"math-style:normal;math-depth:0;\">\u203e<\/mo><\/mover><mo>=<\/mo><mfrac><mrow><msub><mi>x<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><mo>\u22ef<\/mo><mo>+<\/mo><msub><mi>x<\/mi><mi>n<\/mi><\/msub><\/mrow><mi>n<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\bar{x}=\\frac{x_1+x_2+\\cdots+x_n}{n}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The same formula can also be written with summation notation:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mover><mi>x<\/mi><mo stretchy=\"false\" class=\"tml-xshift\" style=\"math-style:normal;math-depth:0;\">\u203e<\/mo><\/mover><mo>=<\/mo><mfrac><mrow><msubsup><mo movablelimits=\"false\">\u2211<\/mo><mrow><mi>i<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mi>n<\/mi><\/msubsup><msub><mi>x<\/mi><mi>i<\/mi><\/msub><\/mrow><mi>n<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\bar{x}=\\frac{\\sum_{i=1}^{n}x_i}{n}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">For example, suppose the numbers are 12, 18, 24, and 30:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mn>12<\/mn><mo>+<\/mo><mn>18<\/mn><mo>+<\/mo><mn>24<\/mn><mo>+<\/mo><mn>30<\/mn><mo>=<\/mo><mn>84<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">12+18+24+30=84<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<br>\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mn>84<\/mn><mo>\u00f7<\/mo><mn>4<\/mn><mo>=<\/mo><mn>21<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">84\\div4=21<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean is 21. This straightforward formula solves some common questions like &#8220;How do I calculate an average?&#8221; and &#8220;How can I find the average of few numbers?&#8221;<\/p>\n\n\n\n<h2 id=\"h-how-to-use-this-tool\" class=\"wp-block-heading\">How to Use This Tool<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Insert your values in the data set. You can use either a comma or space to separate the numbers, as follows:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">10, 20, 30, 40, 50, 15, 25, 35<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The result will automatically display as you insert the data without pressing a &#8220;calculate&#8221; button. You can:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Click on &#8220;Copy&#8221; to copy the result onto the clipboard.<\/li>\n\n\n\n<li>Click on &#8220;Save&#8221; to save the result as an image.<\/li>\n\n\n\n<li>Click on &#8220;Reset&#8221; to remove the existing data and start a fresh calculation.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Whole numbers and decimals, as well as negative numbers can be used for arithmetic operations in the tool. However, the geometric mean can be calculated only if all the values are positive.<\/p>\n\n\n\n<h2 id=\"h-example-calculation\" class=\"wp-block-heading\">Example Calculation<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Look at the following data set that is also given in the tool:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">10, 20, 30, 40, 50, 15, 25, 35<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The tool produces these results:<\/p>\n\n\n\n<figure class=\"wp-block-table\">\n<table class=\"has-fixed-layout\">\n<tbody>\n<tr>\n<td>Result<\/td>\n<td>Value<\/td>\n<\/tr>\n<tr>\n<td>Arithmetic mean<\/td>\n<td>28.13<\/td>\n<\/tr>\n<tr>\n<td>Sum<\/td>\n<td>225.00<\/td>\n<\/tr>\n<tr>\n<td>Count<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Median<\/td>\n<td>27.50<\/td>\n<\/tr>\n<tr>\n<td>Geometric mean<\/td>\n<td>25.10<\/td>\n<\/tr>\n<tr>\n<td>Largest value<\/td>\n<td>50<\/td>\n<\/tr>\n<tr>\n<td>Smallest value<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>Range<\/td>\n<td>40<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The exact arithmetic mean without rounding is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mn>225<\/mn><mo>\u00f7<\/mo><mn>8<\/mn><mo>=<\/mo><mn>28.125<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">225\\div8=28.125<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">It is rounded to two decimal places, and the tool displays 28.13.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To calculate the median, you need to put the numbers in order from smallest to largest:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">10, 15, 20, 25, 30, 35, 40, 50<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Since there are eight numbers in the list, the median will be the average of the two middle numbers, 25 and 30:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>25<\/mn><mo>+<\/mo><mn>30<\/mn><\/mrow><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>27.5<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{25+30}{2}=27.5<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<h2 id=\"h-what-each-result-means\" class=\"wp-block-heading\">What Each Result Means<\/h2>\n\n\n\n<h3 id=\"h-arithmetic-mean\" class=\"wp-block-heading\">Arithmetic Mean<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The &#8220;arithmetic mean&#8221; is the result that everyone is looking for when he uses an average number calculator or mean calculator. The arithmetic mean is the sum of the values divided by the number of values, where all the values play the same role in the result.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This statistic is useful in the case of equal-weight data: exam scores, daily temperatures, sales, costs, etc. However, one very large or very small number may distort the result from the typical value.<\/p>\n\n\n\n<h3 id=\"h-sum\" class=\"wp-block-heading\">Sum<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The sum is the sum of all valid numbers:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mi>S<\/mi><mo>=<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><mo>\u22ef<\/mo><mo>+<\/mo><msub><mi>x<\/mi><mi>n<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">S=x_1+x_2+\\cdots+x_n<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">It is easier to see how sum helps to calculate the result since it shows the value that is divided by the count.<\/p>\n\n\n\n<h3 id=\"h-count\" class=\"wp-block-heading\">Count<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">&#8220;Count&#8221; indicates the number of valid numeric entries in the formula used for calculations. The count becomes the denominator for the computation of the arithmetic mean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The count can also help in spotting missing and incorrectly entered data. For instance, in case you want to enter 12 data entries but the count shows 11, it means that either there is some missing information or one of the entries is not entered in the right format.<\/p>\n\n\n\n<h3 id=\"h-median\" class=\"wp-block-heading\">Median<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The &#8220;median&#8221; refers to the middle number obtained once the values are ordered in ascending order.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In case the number of the data entries is odd, the middle number is referred to as the median. In case the number of the data entries is even, then the median is obtained by averaging the two middle numbers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The median is a better measure of central tendency than the arithmetic mean in case there is an outlier. One extremely high salary, home price, and transaction value may alter the mean considerably but will hardly affect the median.<\/p>\n\n\n\n<h3 id=\"h-geometric-mean\" class=\"wp-block-heading\">Geometric Mean<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The geometric mean can be calculated by multiplying all the numbers together and then taking an nth root of the resulting product:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mi>G<\/mi><mo>=<\/mo><mroot><mrow><msub><mi>x<\/mi><mn>1<\/mn><\/msub><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>\u22ef<\/mo><msub><mi>x<\/mi><mi>n<\/mi><\/msub><\/mrow><mi>n<\/mi><\/mroot><\/mrow><annotation encoding=\"application\/x-tex\">G=\\sqrt[n]{x_1x_2\\cdots x_n}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Such a measure works well for proportional or multiplicative values. Typical examples are growth rates, returns on investment, ratios, percent changes, etc.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A typical geometric mean calculation assumes that the values are positive. For ordinary additive values, such as expenditures, scores, and measurements, the arithmetic mean is often a better choice.<\/p>\n\n\n\n<h3 id=\"h-largest-and-smallest-values\" class=\"wp-block-heading\">Largest and Smallest Values<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The maximum is the highest value in the set, whereas the minimum is the lowest.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">These two measures help determine the bounds of your data instantly without having to sort the data set yourself.<\/p>\n\n\n\n<h3 id=\"h-range\" class=\"wp-block-heading\">Range<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The range describes the whole span from the maximum value to the minimum one:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Range<\/mtext><mo>=<\/mo><mtext>Maximum<\/mtext><mo>\u2212<\/mo><mtext>Minimum<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Range}=\\text{Maximum}-\\text{Minimum}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">If we have a set with the minimum of 10 and the maximum of 50, the range is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mn>50<\/mn><mo>\u2212<\/mo><mn>10<\/mn><mo>=<\/mo><mn>40<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">50-10=40<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The range equals 40. The bigger the range is, the greater span of data is covered, but the range itself doesn&#8217;t say anything about the distribution of values within this span.<\/p>\n\n\n\n<h2 id=\"h-mean-vs-median-which-result-should-you-use\" class=\"wp-block-heading\">Mean vs. Median: Which Result Should You Use?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean is recommended to be used if all observations are supposed to be of equal importance and no outliers are present in the data.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The median measure can be used when you need the middle value of observations or when some observations are unusually high or low and can make the arithmetic mean less representative.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Take a look at these sales figures by month:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">8,000, 8,500, 9,000, 9,500, 60,000<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mn>95,000<\/mn><mo>\u00f7<\/mo><mn>5<\/mn><mo>=<\/mo><mn>19,000<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">95{,}000\\div5=19{,}000<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The median is <strong>9,000<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">These two measures are both mathematically correct, but they describe the set of data in different ways. The arithmetic mean takes into account the presence of the outlier figure, whereas the median is closer to four other figures.<\/p>\n\n\n\n<h2 id=\"h-can-this-be-used-as-a-grade-average-calculator\" class=\"wp-block-heading\">Can This Be Used as a Grade Average Calculator?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sure, you can use the calculator to find the arithmetic average if all figures are equally important and have the same weight.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For scores of 78, 84, 91, and 87:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>78<\/mn><mo>+<\/mo><mn>84<\/mn><mo>+<\/mo><mn>91<\/mn><mo>+<\/mo><mn>87<\/mn><\/mrow><mn>4<\/mn><\/mfrac><mo>=<\/mo><mn>85<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{78+84+91+87}{4}=85<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The grade average is <strong>85<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is what makes the tool helpful in calculating the average of a test, the average of an exam, a grade calculator, or a basic calculator.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">But most courses have varying percentages allocated to the performance in homework, quizzes, projects, midterms, and the final examination. In this case, you will require a weighted calculation and not an arithmetic mean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Such as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Homework score: 90 with 20% weightage<\/li>\n\n\n\n<li>Midterm score: 80 with 30% weightage<\/li>\n\n\n\n<li>Final exam score: 88 with 50% weightage<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The correct weighted grade is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>90<\/mn><mo>\u00d7<\/mo><mn>0.20<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>80<\/mn><mo>\u00d7<\/mo><mn>0.30<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>88<\/mn><mo>\u00d7<\/mo><mn>0.50<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>86<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">(90\\times0.20)+(80\\times0.30)+(88\\times0.50)=86<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Inputting 90, 80, and 88 as equally important numbers will give a different answer, as the input percentages will be neglected.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The calculation of GPA can also be based on credit hours, conversions to letter grades, the particular scale of the institution, among others. This is why you should use the tool only as an estimation tool of GPA and not a GPA calculator.<\/p>\n\n\n\n<h2 id=\"h-can-it-calculate-an-average-percentage\" class=\"wp-block-heading\">Can It Calculate an Average Percentage?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Yes, you can use it to calculate the average percentage when all percentages are equal in significance and have similar data bases.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For 75%, 80%, and 90% percentages:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>75<\/mn><mo>+<\/mo><mn>80<\/mn><mo>+<\/mo><mn>90<\/mn><\/mrow><mn>3<\/mn><\/mfrac><mo>=<\/mo><mn>81.67<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{75+80+90}{3}=81.67%<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Type in the numbers without percent signs:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">75, 80, 90<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The obtained average will be <strong>81.67%<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A simple percentage average cannot be used when the percentages are derived from different numbers of items\/groups\/assessments.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For instance:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>90% for a quiz having 10 questions<\/li>\n\n\n\n<li>60% for an exam having 100 questions<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The standard average for the two percentages will be 75%, which means both assessments are equally important. To obtain the combined score correctly, you need to use the raw numbers:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>9<\/mn><mo>+<\/mo><mn>60<\/mn><\/mrow><mrow><mn>10<\/mn><mo>+<\/mo><mn>100<\/mn><\/mrow><\/mfrac><mo>\u00d7<\/mo><mn>100<\/mn><mo>=<\/mo><mn>62.73<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{9+60}{10+100}\\times100=62.73%<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">It is necessary to apply a weighted procedure if percentages are of different point totals, denominators, credits, samples, or weights.<\/p>\n\n\n\n<h2 id=\"h-how-to-calculate-an-average-in-excel-or-google-sheets\" class=\"wp-block-heading\">How to Calculate an Average in Excel or Google Sheets<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">To calculate an average in MS Excel, fill the cells with data in a row or column and then use the following formula:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">=AVERAGE(A1:A10)<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The function AVERAGE finds the arithmetic mean of all numbers in the range. There are also AVERAGEIF and AVERAGEIFS functions that can be used in case there is a need to find results with one or several conditions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The same formula is used for calculations in Google Sheets:<\/p>\n\n\n\n<div class=\"code-block-wrapper\"><button class=\"copy-pre-button\" title=\"Copy code\">Copy<\/button><pre class=\"wp-block-preformatted\">=AVERAGE(A1:A10)<\/pre><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">However, in Google Sheets there are special functions to find a median, geometric mean, mode, and weighted results.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This online calculator is very useful if there is no time to open a table and write a formula.<\/p>\n\n\n\n<h2 id=\"h-how-to-calculate-the-average-of-two-numbers\" class=\"wp-block-heading\">How to Calculate the Average of Two Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Add the two values and divide the result by two:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mfrac><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><\/mrow><mn>2<\/mn><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{a+b}{2}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">For 18 and 26:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>18<\/mn><mo>+<\/mo><mn>26<\/mn><\/mrow><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>22<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{18+26}{2}=22<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean is <strong>22<\/strong>.<\/p>\n\n\n\n<h2 id=\"h-how-to-calculate-the-average-of-three-numbers\" class=\"wp-block-heading\">How to Calculate the Average of Three Numbers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Add the three values and divide the total by three:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mfrac><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo>+<\/mo><mi>c<\/mi><\/mrow><mn>3<\/mn><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{a+b+c}{3}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">For 12, 15, and 21:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mn>12<\/mn><mo>+<\/mo><mn>15<\/mn><mo>+<\/mo><mn>21<\/mn><\/mrow><mn>3<\/mn><\/mfrac><mo>=<\/mo><mn>16<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{12+15+21}{3}=16<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The arithmetic mean is <strong>16<\/strong>.<\/p>\n\n\n\n<h2 id=\"h-how-to-calculate-an-average-of-averages\" class=\"wp-block-heading\">How to Calculate an Average of Averages<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Calculating an Average of Averages<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A straight mean average of several group averages is a true reflection only if all the groups have equal numbers of data points.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, the first class has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mean score of 90<\/li>\n\n\n\n<li>The number of students is 10.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The second class has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mean score of 70<\/li>\n\n\n\n<li>The number of students is 30<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The mean of 90 and 70 is 80; however, this answer wrongly assumes that the two classes have an equal number of students.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The proper calculation for this situation would be:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mo form=\"prefix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">(<\/mo><mn>90<\/mn><mo>\u00d7<\/mo><mn>10<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>70<\/mn><mo>\u00d7<\/mo><mn>30<\/mn><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><mrow><mn>10<\/mn><mo>+<\/mo><mn>30<\/mn><\/mrow><\/mfrac><mo>=<\/mo><mn>75<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{(90\\times10)+(70\\times30)}{10+30}=75<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">If groups have unequal sizes, multiply the mean of each group by its number of data points, then sum the results and divide by the total number of observations.<\/p>\n\n\n\n<h2 id=\"h-when-a-special-calculation-is-needed\" class=\"wp-block-heading\">When a Special Calculation Is Needed<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Just because there is the word \u201caverage\u201d in your search does not mean that it is just an ordinary arithmetic mean. Here is how to know which one is appropriate.<\/p>\n\n\n\n<figure class=\"wp-block-table\">\n<table class=\"has-fixed-layout\">\n<tbody>\n<tr>\n<td>If your need is<\/td>\n<td>Is this tool suitable?<\/td>\n<td>Correct approach<\/td>\n<\/tr>\n<tr>\n<td>Grade average calculator<\/td>\n<td>Yes, for grades that carry the same weight<\/td>\n<td>Sum up all grades, then divide by the number of grades<\/td>\n<\/tr>\n<tr>\n<td>Weighted average calculator<\/td>\n<td>No<\/td>\n<td>Multiply value with its corresponding weight<\/td>\n<\/tr>\n<tr>\n<td>Average percentage calculator<\/td>\n<td>Yes, in case percentages carry the same weight<\/td>\n<td>Calculate arithmetic mean<\/td>\n<\/tr>\n<tr>\n<td>Stock average calculator<\/td>\n<td>Only when the number of stocks is equal<\/td>\n<td>Weight the purchase price with the number of stocks<\/td>\n<\/tr>\n<tr>\n<td>Batting average calculator<\/td>\n<td>No, from individual game percentages<\/td>\n<td>Total hits divided by total at bats<\/td>\n<\/tr>\n<tr>\n<td>Average speed calculator<\/td>\n<td>No, from unconnected speed measurements<\/td>\n<td>Distance traveled divided by total time<\/td>\n<\/tr>\n<tr>\n<td>Average velocity calculator<\/td>\n<td>No<\/td>\n<td>Divide displacement by elapsed time<\/td>\n<\/tr>\n<tr>\n<td>Average atomic mass calculator<\/td>\n<td>No<\/td>\n<td>Weight each isotope by its natural abundance<\/td>\n<\/tr>\n<tr>\n<td>Average and standard deviation calculator<\/td>\n<td>No<\/td>\n<td>Use statistics calculator, including standard deviation<\/td>\n<\/tr>\n<tr>\n<td>Average median mode calculator<\/td>\n<td>Partly<\/td>\n<td>Partially This calculator gives the average and median, not the mode.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n\n\n\n<h3 id=\"h-stock-prices-and-share-purchases\" class=\"wp-block-heading\">Stock Prices and Share Purchases<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">It is only possible to calculate the mean of prices accurately when the same quantity of shares is bought at each price.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When different amounts are bought at each price, it is necessary to compute the weighted average price per share:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Average&nbsp;Price&nbsp;per&nbsp;Share<\/mtext><mo>=<\/mo><mfrac><mrow><mo movablelimits=\"false\" lspace=\"0em\" rspace=\"0em\">\u2211<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mtext>Price<\/mtext><mo>\u00d7<\/mo><mtext>Shares<\/mtext><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><mrow><mo movablelimits=\"false\" lspace=\"0em\" rspace=\"0em\">\u2211<\/mo><mtext>Shares<\/mtext><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Average Price per Share}=\\frac{\\sum(\\text{Price}\\times\\text{Shares})}{\\sum\\text{Shares}}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">For example, say you have purchased 10 shares for $20 and 30 shares for $30:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mrow><mo form=\"prefix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">(<\/mo><mn>10<\/mn><mo>\u00d7<\/mo><mn>20<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>30<\/mn><mo>\u00d7<\/mo><mn>30<\/mn><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><mn>40<\/mn><\/mfrac><mo>=<\/mo><mn>27.50<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{(10\\times20)+(30\\times30)}{40}=27.50<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The weighted average price will be <strong>$27.50<\/strong> per share. When one simply enters 20 and 30, one gets 25, which is incorrect. Other factors that affect the actual cost of buying stocks are commissions, taxes, exchange rates, and stock splits.<\/p>\n\n\n\n<h3 id=\"h-batting-average\" class=\"wp-block-heading\">Batting Average<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The average batting rate of a baseball player is calculated using the total hits divided by the total number of at-bats rather than the arithmetic mean of several percentages obtained in a game:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Batting&nbsp;Average<\/mtext><mo>=<\/mo><mfrac><mtext>Hits<\/mtext><mtext>At-Bats<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Batting Average}=\\frac{\\text{Hits}}{\\text{At-Bats}}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">If a player has 25 hits in 100 at-bats, then his batting average is:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mfrac><mn>25<\/mn><mn>100<\/mn><\/mfrac><mo>=<\/mo><mn>0.250<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{25}{100}=0.250<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<h3 id=\"h-average-speed-and-velocity\" class=\"wp-block-heading\">Average Speed and Velocity<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Average speed is calculated by dividing the total distance covered by the total time taken:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Average&nbsp;Speed<\/mtext><mo>=<\/mo><mfrac><mtext>Total&nbsp;Distance<\/mtext><mtext>Total&nbsp;Time<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Average Speed}=\\frac{\\text{Total Distance}}{\\text{Total Time}}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Average velocity is calculated by dividing displacement by the total time:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Average&nbsp;Velocity<\/mtext><mo>=<\/mo><mfrac><mtext>Displacement<\/mtext><mtext>Elapsed&nbsp;Time<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Average Velocity}=\\frac{\\text{Displacement}}{\\text{Elapsed Time}}<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">When simply adding several speeds together gives a misleading result because of unequal time periods between readings.<\/p>\n\n\n\n<h3 id=\"h-average-atomic-mass\" class=\"wp-block-heading\">Average Atomic Mass<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The average atomic mass is a weight average based on the mass and natural abundance of each isotope:<\/p>\n\n\n\n<div class=\"wp-block-math\">\n<math display=\"block\"><semantics><mrow><mtext>Average&nbsp;Atomic&nbsp;Mass<\/mtext><mo>=<\/mo><mo movablelimits=\"false\">\u2211<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mtext>Isotope&nbsp;Mass<\/mtext><mo>\u00d7<\/mo><mtext>Fractional&nbsp;Abundance<\/mtext><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Average Atomic Mass}=\\sum(\\text{Isotope Mass}\\times\\text{Fractional Abundance})<\/annotation><\/semantics><\/math>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">As the amount of isotopes in nature is different from each other, a simple average cannot be used for calculating atomic mass.<\/p>\n\n\n\n<h2 id=\"h-important-calculation-notes\" class=\"wp-block-heading\">Important Calculation Notes<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">All values inputted into this calculator are equally weighted. Please take note of the following when interpreting your results:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A weighted average should be calculated when some of the values are more important, numerous, frequent, or have a larger sample size than others.<\/li>\n\n\n\n<li>The geometric mean should only be calculated when it is mathematically possible, which usually means that all values are positive.<\/li>\n\n\n\n<li>Results might be rounded off to two decimal places.<\/li>\n\n\n\n<li>At the moment, the tool does not display such calculations as mode, variance, standard deviation, quartiles, and weighted average.<\/li>\n\n\n\n<li>Ensure that all values are measured in the same units before you perform a calculation.<\/li>\n\n\n\n<li>It is impossible to calculate the average between raw numbers and percentages unless they measure the same quantity.<\/li>\n\n\n\n<li>Always double-check important financial, scientific, educational, or medical results using the proper method of calculation.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A number set may have more than one valuable piece of information in it. The average will provide you the overall numerical center, the median<\/p>\n","protected":false},"featured_media":2654,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-516","tools","type-tools","status-publish","has-post-thumbnail","hentry","tools_category-statistics"],"yoast_head":"\n<title>Average Calculator - Get Mean, Median, Sum, Rang and More<\/title>\n<meta name=\"description\" content=\"Find out the average, median, geometric mean, sum, count, minimum, maximum, and range of any number set in just one click.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/codlico.com\/tools\/average-calculator\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Free Average Calculator \u2013 Mean, Median &amp; Stats\" \/>\n<meta property=\"og:description\" content=\"Provide numbers to find out the average, median, geometric mean, sum, count, minimum, maximum, and range in seconds.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/codlico.com\/tools\/average-calculator\/\" \/>\n<meta property=\"og:site_name\" content=\"CodLico.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/codlico\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-17T15:11:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/codlico.com\/wp-content\/uploads\/2026\/03\/average-calculator.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1245\" \/>\n\t<meta property=\"og:image:height\" content=\"657\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Free Average Calculator \u2013 Mean, Median &amp; Stats\" \/>\n<meta name=\"twitter:description\" content=\"Enter any numbers and instantly get average, median, sum, range, and geometric mean. Perfect for grades, GPA, stocks, and more.\" \/>\n<meta name=\"twitter:site\" content=\"@codlico\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"11 minutes\" \/>\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/\",\"url\":\"https:\/\/codlico.com\/tools\/average-calculator\/\",\"name\":\"Average Calculator - Get Mean, Median, Sum, Rang and More\",\"isPartOf\":{\"@id\":\"https:\/\/codlico.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/codlico.com\/wp-content\/uploads\/2025\/07\/average-calculator.svg\",\"datePublished\":\"2026-04-04T11:28:34+00:00\",\"dateModified\":\"2026-07-17T15:11:55+00:00\",\"description\":\"Find out the average, median, geometric mean, sum, count, minimum, maximum, and range of any number set in just one click.\",\"breadcrumb\":{\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/codlico.com\/tools\/average-calculator\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/#primaryimage\",\"url\":\"https:\/\/codlico.com\/wp-content\/uploads\/2025\/07\/average-calculator.svg\",\"contentUrl\":\"https:\/\/codlico.com\/wp-content\/uploads\/2025\/07\/average-calculator.svg\",\"caption\":\"Average Calculator\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/codlico.com\/tools\/average-calculator\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/codlico.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Tools\",\"item\":\"https:\/\/codlico.com\/tools\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Average Calculator\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/codlico.com\/#website\",\"url\":\"https:\/\/codlico.com\/\",\"name\":\"CodLico\",\"description\":\"Dev Tools, Calculators, and Coding Tutorials\",\"publisher\":{\"@id\":\"https:\/\/codlico.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/codlico.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/codlico.com\/#organization\",\"name\":\"CodLico\",\"url\":\"https:\/\/codlico.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/codlico.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/codlico.com\/wp-content\/uploads\/2024\/10\/Favicon.svg\",\"contentUrl\":\"https:\/\/codlico.com\/wp-content\/uploads\/2024\/10\/Favicon.svg\",\"width\":\"1024\",\"height\":\"1024\",\"caption\":\"CodLico\"},\"image\":{\"@id\":\"https:\/\/codlico.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/codlico\/\",\"https:\/\/x.com\/codlico\",\"https:\/\/www.instagram.com\/codlico_\/\",\"https:\/\/www.tiktok.com\/@codlico\",\"https:\/\/t.me\/@codlico\",\"https:\/\/www.youtube.com\/@codlico\"]}]}<\/script>\n","yoast_head_json":{"title":"Average Calculator - Get Mean, Median, Sum, Rang and More","description":"Find out the average, median, geometric mean, sum, count, minimum, maximum, and range of any number set in just one click.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/codlico.com\/tools\/average-calculator\/","og_locale":"en_US","og_type":"article","og_title":"Free Average Calculator \u2013 Mean, Median & Stats","og_description":"Provide numbers to find out the average, median, geometric mean, sum, count, minimum, maximum, and range in seconds.","og_url":"https:\/\/codlico.com\/tools\/average-calculator\/","og_site_name":"CodLico.com","article_publisher":"https:\/\/www.facebook.com\/codlico\/","article_modified_time":"2026-07-17T15:11:55+00:00","og_image":[{"width":1245,"height":657,"url":"https:\/\/codlico.com\/wp-content\/uploads\/2026\/03\/average-calculator.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_title":"Free Average Calculator \u2013 Mean, Median & Stats","twitter_description":"Enter any numbers and instantly get average, median, sum, range, and geometric mean. 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