Answer:
To calculate the sample variance of the numbers 9, 5, 6, 2, and 3, follow these steps:
1. Calculate the mean (average) of the numbers:
Mean = (9 + 5 + 6 + 2 + 3) / 5 = 25 / 5 = 5
2. Find the squared difference between each number and the mean:
(9 - 5)^2 = 16
(5 - 5)^2 = 0
(6 - 5)^2 = 1
(2 - 5)^2 = 9
(3 - 5)^2 = 4
3. Calculate the sum of these squared differences:
Sum = 16 + 0 + 1 + 9 + 4 = 30
4. Divide the sum by (n-1), where n is the number of data points. Since you have 5 data points, n-1 is 4:
Sample Variance = Sum / (n-1) = 30 / 4 = 7.5
So, the sample variance of the numbers 9, 5, 6, 2, and 3 is 7.50.