Average Calculator: Calculate Average Value

An average calculator is a free calculation tool that will help you find the average of a set of numbers. The average or arithmetic mean is a calculation that takes a set of numbers and gives the central value of a set of numbers. To calculate the average all of the values are added together and then divided by the number of values.

For example, if you have test scores of 75, 80, 85, 90 and 95 then the average would be 85. An average calculator will provide you with this value in seconds.

An average is commonly used in everyday situations, education, business, finance, sport, statistics and data analysis. Students can calculate their average grades, businesses can analyse average sales and revenue, and people can track average spending, budget and performance.

In the US averages are commonly used to understand performance at school, calculate productivity of employees, track spending in a household, compare price of products and track financial information.

When calculating an average manually there is nothing complicated about finding the average of a small amount of numbers. However, if there is a large amount of data to calculate then it can take a long time to work out. An average calculator will automatically add up your numbers, count how many numbers there are and give you the average.

This tool will help students, teachers, business owners, employees and researchers find accurate averages.

How to Use an Average Calculator

To use an online average calculator follow the steps below.

Enter your numbers

Type the numbers you wish to calculate. You can type in two or more numbers, depending on what options the calculator offers.

Separate the numbers

If needed you can separate each number with a comma or space.

Double check

Ensure all numbers have been typed in correctly. You can use whole numbers, decimals and negative numbers.

Calculate

Click calculate to process your numbers.

View your average

The average of all numbers will now display.

Depending on what options are available you may also see the total and the number of numbers.

Example

Let’s say you want to calculate the average of 10, 20, 30, 40 and 50.
Numbers: 10, 20, 30, 40, 50.
Total: 150.
Numbers: 5.

Average = 150 ÷ 5 = 30
Answer: 30.

You can use an average calculator to calculate averages for academic results, business figures, spending, measurements and more.

Average Calculator Formula

To calculate the arithmetic average you simply add up all of the values and divide by the total number of values.

Formula

Average = Sum of all values / number of values.
This can be shown as;
\\bar{x} = (x₁ + x₂ + x₃ + ... + xn) / n
Where;
\\(\\bar{x}\\) = Arithmetic average/mean.
\\(x_1,x_2,x_3,\\ldots,x_n\\) = Values.
\\(n\\) = Total number of values.
Steps to Calculate the Average
Add up all the numbers.
Count the numbers.
Divide the total by the number of values.
The answer will be your average.
For example, if you have 15, 25 and 35.
Average = (15 + 25 + 35) / 3.
= 75/3.
= 25.
Average = 25.

Examples

Let’s look at some examples so you can understand how an average calculator works.

Example 1 – Average of 5 Numbers

Let’s say you want to calculate the average of 12, 18, 24, 30 and 36.
Numbers: 12, 18, 24, 30, 36.
Total numbers: 5.
Add up all numbers.
12+18+24+30+36=120

Divide total by numbers.

Average = 120 / 5.
= 24.
Answer: 24.

Example 2 – Average of Student Test Results

Let’s say a student scores the following marks in 5 tests.

Test 1: 85.
Test 2: 90.
Test 3: 78.
Test 4: 92.
Test 5: 95.
Add up the total.
85+90+78+92+95=440

Divide by the total number of tests.
Average = 440 / 5.
= 88.
Answer: 88.

Example 3 – Average Spending Per Month

Let’s say you spend the following amount per month for 4 months.

Month 1: $1500.
Month 2: $1800.
Month 3: $1600.
Month 4: $2100.
Add up the total.
1500+1800+1600+2100=7000
Divide by 4 months.
Average = 7000 / 4.
= $1750.
Answer: $1750.

Original AmountsShared Equally247

\\(\\bar{x} = \\frac{2 + 4 + 7}{3} = \\frac{13}{3} = 4\\ \\frac{1}{3}\\)
x̄ = Arithmetic mean (average).
\\(x_1\\)
\\(x_2\\)
\\(\\bar{x}\\)0__

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Understanding your Answer

The answer you receive from an average calculator is the arithmetic mean of all numbers entered. Below are some key terms to know.

Average/Mean: Total of all values divided by total number of values.
Total: Total of all numbers.

Total Numbers: Total number of numbers.

Decimal Answers: Averages do not always have to be whole numbers. For example, 10, 15 and 20 would give you an average of 15. Whereas 10, 15 and 18 would give you an average of approximately 14.33.

Positive and Negative Numbers: Negative numbers can be included. For example, -5, 10 and 15 would give you an average of approximately 6.67.
Remember that the arithmetic mean can be affected by very high or low numbers. This means that it doesn’t necessarily give you the most common value.

Factors that Affect the Average

There are a few factors that can affect the average.

• Number of Values: The total number of values will affect what you divide by.
• Size of Values: Larger or smaller numbers can greatly affect the average.
• Outliers: Very high or very low numbers can affect the arithmetic mean. For example, if you have one very high value for spending then your average monthly spending will increase.
• Negative Numbers: Negative numbers will affect the total. This can cause the average to decrease.
• Decimal Numbers: If there are decimal numbers then the average can have more decimal places.
• Missing Values: If important values are missing then the average may not be accurate.
• Unequal Values: If some values hold more importance then a weighted average would be more suitable.

Benefits of Using an Average Calculator

An average calculator can provide many benefits.

• Saves Time: You can quickly calculate the average of multiple numbers.
• Helps Students: Students can calculate averages for test results, assignments, exams and performance.
• Business Owners: Business owners can calculate average sales, revenue, spending and performance per month.
• Budgeting: You can calculate average monthly spending, grocery spending, utility bills and overall spending.
• Investors and Financial Analysts: Investors and financial analysts can calculate average returns, prices and more. However, investment returns may need specialist calculations.
• Sports: Coaches, athletes and sports fans can calculate average points, scores, runs and performance.
• Increased Productivity: Employees and managers can calculate average hours worked, time to complete projects and productivity.
• Minimise Errors: Automatically calculating will minimise any errors.

Accuracy, Assumptions and Limitations

An average calculator will give you accurate results as long as you enter the correct values. The average will be calculated using the arithmetic mean.

However, there are some important assumptions and limitations.

• Correct Values: If you enter incorrect or missing numbers then this will affect your answer.
• Arithmetic Mean: A basic average calculator will calculate the arithmetic mean. It will not calculate the median, mode or weighted average.
• Outliers: Very high or low numbers can greatly affect the average.
• Equal Importance: The formula assumes all values are of equal importance.
• Blank Fields: Don’t enter blank fields as zero unless needed.
• Rounded Numbers: The answer may be rounded. This means it may not be completely accurate.
• Not Accurate: If the data isn’t evenly spread then the average may not be accurate.

If there are outliers in your data then it may be better to use the median or weighted average for more analysis.

FAQs

What is an average calculator?

An average calculator is a maths tool that can be used online to calculate the arithmetic mean of a set of numbers. All the values will be added together and then divided by the number of values.

How do I calculate the average of numbers manually?

All the numbers can be added together and then divided by the total number of values. For example, the average of 10, 20 and 30 would be 20 as 60 divided by 3 is 20.

Can I calculate the average of decimals and negative numbers?

Yes, you can. Decimal and negative numbers can be used to calculate the arithmetic mean. Simply add all the numbers together and then divide by the number of values.

What is the difference between average, median and mode?

The average (mean) will give you the total of all values divided by the amount of values. The median will give you the middle number once sorted. The mode will give you the most frequent value.

Can I get a decimal as an average?

Yes, you can. The average can be a whole number, decimal or fraction. For example, 10, 15 and 18 would give you an average of approximately 14.33.