Mean Calculator

This Mean Calculator helps you find the arithmetic mean of a list of numbers and shows each step clearly. It works by adding all the values together and then dividing the total by the number of values in the list. This makes it useful for checking answers, understanding how the mean is calculated, and practising statistics step by step.

Step-by-step method

1. List the numbers and count how many there are.
2. Use the mean formula (sum of values divided by the count).
3. Add the values, then divide by the count.

Formula:

Example 1: 1, 2, 3, 4, 5

Step 1 - List the numbers and count how many there are.

In this problem: The numbers are 1, 2, 3, 4, 5, so the count is n = 5.

Step 2 - Use the mean formula (sum of values divided by the count).

In this problem: Use the mean formula: x̄ = (sum of values) ÷ n.

Step 3 - Add the values, then divide by the count.

In this problem: The sum is Σx = 15, and n = 5, so x̄ = 15 ÷ 5 = 3.

Final answer: Mean = 3

Example 2: 12, 15, 18, 21

Step 1 - List the numbers and count how many there are.

In this problem: The numbers are 12, 15, 18, 21, so the count is n = 4.

Step 2 - Use the mean formula (sum of values divided by the count).

In this problem: Use the mean formula: x̄ = (sum of values) ÷ n.

Step 3 - Add the values, then divide by the count.

In this problem: The sum is Σx = 66, and n = 4, so x̄ = 66 ÷ 4 = 16.5.

Final answer: Mean = 16.5