Average Calculator: Get Mean, Median, Sum, Rang and More

What This Tool Actually Gives You

While the majority of average calculators only give you the mean of a group of numbers, this one provides you with eight different calculations the instant you enter your numbers:

• Average (Mean): This represents a standard mean for all of your entered numbers. 
• Sum: This shows the total sum of all of the numbers you may have entered. 
• Count: This tells you how many numbers you have entered. 
• Median: This tells you which number is in the middle of your entered numbers. 
• Geometric Mean: This is a calculation that can be useful in different types of growth rates and/or ratios. 
• Max: This tells you the highest number you had in the set of numbers submitted. 
• Min: This tells you the lowest number you had in the set of numbers submitted. 
• Range: This shows you the distance between the highest and the lowest value in the entered numbers. 

To receive an average, there are no buttons to click! All calculations will be done on the fly as you enter your numbers. Your results can also be copied to your clipboard or saved as an image!

Who Uses This Tool and Why

This isn’t only limited to math class, there is a calculator out there that can calculate averages for numerous various activities in life:

• Students determining grade averages or GPAs
• Teachers checking class performance scores
• Investors checking average prices for stocks over multiple purchases
• Athletes checking batting averages or game performance
• Businesses tracking website visits or sales statistics
• Anyone wanting to quickly determine what a list of numbers represents

If you have searched for how to calculate an average or average grade calculator, then you’ve come to the right place because our tool calculates the average for you, so you can see what that number means.

How the Average Calculator Works

It is easy to do:

• Enter your numbers into an input field
• Separate your numbers using either a comma or a space (either works)
• This tool will automatically filter out words and any invalid entries
• All eight results will display on the same screen, instantly.

You can enter as many numbers as you like. Both decimals and negative numbers are accepted and can be used. If you want to start over again, just press the reset button to clear everything out.

Formulas Behind the Results

Arithmetic Mean (Average)

$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$

Example: 4, 8, 6, 10, 2

$$\sum x_i = 4 + 8 + 6 + 10 + 2 = 30$$
$$n = 5$$
$$\bar{x} = \frac{30}{5} = 6$$

The average is 6.

Median

Sort your numbers first. Then find the middle value.

Odd count: 2, 4, 6, 8, 10

$$\text{Median} = x_{\left(\frac{n+1}{2}\right)} = x_{(3)} = 6$$

Even count: 2, 4, 6, 8

$$\text{Median} = \frac{x_{\left(\frac{n}{2}\right)} + x_{\left(\frac{n}{2}+1\right)}}{2} = \frac{4 + 6}{2} = 5$$

Geometric Mean

$$G = \left(\prod_{i=1}^{n} x_i\right)^{\frac{1}{n}}$$

Example: 2, 8, 4

$$G = (2 \times 8 \times 4)^{\frac{1}{3}} = (64)^{\frac{1}{3}} = 4$$

The geometric mean is 4.

Sum

$$S = \sum_{i=1}^{n} x_i = x_1 + x_2 + \cdots + x_n$$

Example:

$$S = 4 + 8 + 6 + 10 + 2 = 30$$

Range

$$\text{Range} = x_{\max} – x_{\min}$$

Example:

$$\text{Range} = 10 – 2 = 8$$

Limitations and Disclaimer

This tool was created for daily use. However, before depending on the results, please remember the following:

• A weighted average is not supported, therefore all values will be accounted for equally. If a weighted average needs to be calculated, please use a dedicated calculator.
• A geometric mean can only be calculated using positive numbers therefore a value of zero or negative will yield an inaccurate or undefined geometric mean.
• Round to 2 decimal points; this is acceptable for regular use but obviously not for very high standards for scientific or financial calculations.
• Do not use as official reports, such as in making educational records, medical information or financial decisions, but should be verified through an acceptable trusted source.

For anyone who regularly works with numbers like students looking to check grades, or investors wanting to be satisfied with current stock quotes, or any individual wanting to compute averages without opening up Excel, this tool will save you a lot of time. Enter your number(s) and view result(s) and move on.