Question

Consider the following data: 5, -5, 5, -5, -5, 14, 5. Step 1 of 3: Calculate the value of the sample variance. Round your answer to one decimal place.

Answer 1

To calculate the sample variance, find the mean, subtract the mean from each data point and square the result, then calculate the average of the squared differences.

Step-by-step explanation:

To calculate the sample variance, follow these steps:

1. Find the mean of the data set. In this case, it is -0.57.
2. Subtract the mean from each data point and square the result. The squared differences are: 0.4529, 17.8561, 5.7241, 11.0333, 2.7141, 28.3291.
3. Calculate the average of the squared differences. The sum is 66.1096, and since there are 7 data points, the sample variance is 66.1096 divided by 7, which equals 9.4435. Rounding to one decimal place, the sample variance is 9.4.