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What is the sampie variance of the following numbers? 9,5,6,2,3 Multipte Choice 274 2.47 7.50 5.58

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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.

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