Question

The data set below shows the number of points scored by a basketball team for each of nine games. If the mean of the data is 83 and the standard deviation is 6.5, identify all the scores that are within one standard deviation of the mean. {71, 77, 79, 80, 83, 87, 88, 90, 92}​

Answer 1

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88