Question

Calculate the value of the sample variance for the given data: -14, -14, 7, 0, 7, -14, 7. Round your answer to one decimal place.

Answer 1

The sample variance is 112.04.

Step-by-step explanation:

To calculate the sample variance, follow these steps:

1. Find the mean (average) of the given data. In this case, the mean is -2.71.
2. Subtract the mean from each data value to get the deviations from the mean: -11.29, -11.29, 9.71, -2.71, 9.71, -11.29, 9.71.
3. Square each deviation: 127.37, 127.37, 94.24, 7.34, 94.24, 127.37, 94.24.
4. Find the sum of the squared deviations: 672.23.
5. Divide the sum of squared deviations by the sample size minus one (6) to get the sample variance: 112.04.