Calculate the variance of the following numbers: 1, 2, 3, 4, 5. (2022)

Calculate the variance of the following numbers: 1, 2, 3, 4, 5. (2022)

Step 1: Add all the numbers together: 1 + 2 + 3 + 4 + 5 = 15.
Step 2: Count how many numbers there are: There are 5 numbers.
Step 3: Calculate the mean (average) by dividing the total by the count: 15 / 5 = 3.
Step 4: Subtract the mean from each number and square the result: (1-3)², (2-3)², (3-3)², (4-3)², (5-3)².
Step 5: Calculate each squared difference: (1-3)² = 4, (2-3)² = 1, (3-3)² = 0, (4-3)² = 1, (5-3)² = 4.
Step 6: Add all the squared differences together: 4 + 1 + 0 + 1 + 4 = 10.
Step 7: Divide the total of squared differences by the count of numbers to find the variance: 10 / 5 = 2.

Mean Calculation – The mean is calculated by summing all the numbers and dividing by the count of numbers.
Variance Calculation – Variance measures the spread of numbers by averaging the squared differences from the mean.