Question

Find the standard deviation of the data set below.

{99, 88, 88, 91, 92, 100}
A. 25.58
B. 5.06
C. 12
D. 1

Answer 1

To find the standard deviation of a data set, follow these steps: find the mean of the data set, find the difference between each data point and the mean, square each difference, find the mean of the squared differences, and take the square root of the mean of the squared differences.

Step-by-step explanation:

To find the standard deviation of a data set, you can use the following steps:

1. Find the mean of the data set. In this case, the mean is (99 + 88 + 88 + 91 + 92 + 100) / 6 = 92.67.
2. Find the difference between each data point and the mean. The differences are: -6.67, -4.67, -4.67, -1.67, -0.67, and 7.33.
3. Square each difference. The squares are: 44.4489, 21.8089, 21.8089, 2.7889, 0.4489, and 53.7689.
4. Find the mean of the squared differences. The mean is (44.4489 + 21.8089 + 21.8089 + 2.7889 + 0.4489 + 53.7689) / 6 = 25.58.
5. Take the square root of the mean of the squared differences. The standard deviation is √25.58 = 5.06.