What is the variance of the following numbers: 2, 4, 4, 4, 5, 5, 7, 9?

What is the variance of the following numbers: 2, 4, 4, 4, 5, 5, 7, 9?

Step 1: List the numbers: 2, 4, 4, 4, 5, 5, 7, 9.
Step 2: Count how many numbers there are. There are 8 numbers.
Step 3: Calculate the mean (average) of the numbers. Add all the numbers together: 2 + 4 + 4 + 4 + 5 + 5 + 7 + 9 = 40. Then divide by the number of numbers: 40 / 8 = 5.
Step 4: Subtract the mean from each number and square the result: (2-5)², (4-5)², (4-5)², (4-5)², (5-5)², (5-5)², (7-5)², (9-5)².
Step 5: Calculate each squared difference: (2-5)² = 9, (4-5)² = 1, (4-5)² = 1, (4-5)² = 1, (5-5)² = 0, (5-5)² = 0, (7-5)² = 4, (9-5)² = 16.
Step 6: Add all the squared differences together: 9 + 1 + 1 + 1 + 0 + 0 + 4 + 16 = 32.
Step 7: Divide the total by the number of numbers (8) to find the variance: 32 / 8 = 4.

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