The scores of a class in a test are: 10, 12, 14, 16, 18. What is the variance? (

The scores of a class in a test are: 10, 12, 14, 16, 18. What is the variance? (2022)

The scores of a class in a test are: 10, 12, 14, 16, 18. What is the variance? (2022)

Step 1: List the scores of the class: 10, 12, 14, 16, 18.
Step 2: Calculate the mean (average) of the scores. Add all the scores together: 10 + 12 + 14 + 16 + 18 = 70. Then divide by the number of scores (5): 70 / 5 = 14.
Step 3: Find the difference between each score and the mean (14).
Step 4: Calculate the squared differences: (10-14)² = 16, (12-14)² = 4, (14-14)² = 0, (16-14)² = 4, (18-14)² = 16.
Step 5: Add all the squared differences together: 16 + 4 + 0 + 4 + 16 = 40.
Step 6: Divide the total squared differences by the number of scores (5) to find the variance: 40 / 5 = 8.

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