Question

Based on the same previous scenario, calculate the deviation (score - mean). Square each response and then add the deviation squared. Divide the answer by n. What is the variance?

6, 7, 7, 8, 8, 8, 8, 9, 9, 10.

Answer 1

Explanation:

1. Calculate the mean of the data: (6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 9 + 10) / 10 = 8

2. Subtract the mean from each data point to get the deviation:

• 6 - 8 = -2

• 7 - 8 = -1

• 7 - 8 = -1

• 8 - 8 = 0

• 8 - 8 = 0

• 8 - 8 = 0

• 8 - 8 = 0

• 9 - 8 = 1

• 9 - 8 = 1

• 10 - 8 = 2

3. Square each deviation:

• -2^2 = 4
• -1^2 = 1
• -1^2 = 1
• 0^2 = 0
• 0^2 = 0
• 0^2 = 0
• 0^2 = 0
• 1^2 = 1
• 1^2 = 1
• 2^2 = 4

4. Add up the squared deviations: 4 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 4 = 12

5.Divide the sum of squared deviations by the number of data points (n-1), which is 9 in this case: 12 / 9 = 1.33

Answer:
So, the variance is 1.33.