Question

Consider the following data: 5,-11, -11,-11, -14, -14,-14 .Calculate the value of the sample variance.

Answer 1

To calculate the sample variance, subtract the mean from each data point, square the result, sum them up, and divide by the number of data points minus one.

Step-by-step explanation:

To calculate the sample variance, follow these steps:

1. Find the mean of the data set. In this case, the mean is -12.286.
2. Subtract the mean from each data point and square the result.
3. Sum up all the squared differences.
4. Divide the sum by the number of data points minus one. Since there are 7 data points, we divide by 6.

Following these steps, the sample variance for the given data set is 13.143.