Question

Find the standard deviation of the age of members to the nearest tenth.

Data: 22, 44, 43, 63, 22, 27, 58, 65
a) 15.3
b) 15.7
c) 14.2
d) 16.8

Answer 1

To find the standard deviation of a data set, calculate the mean, subtract the mean from each value, square the result, find the mean of the squared differences, and take the square root of this mean.

Step-by-step explanation:

To find the standard deviation, follow these steps:

1. Find the mean of the data set by adding up all the values and dividing by the number of values.
2. Subtract the mean from each value and square the result.
3. Find the mean of the squared differences.
4. Take the square root of the mean of the squared differences to find the standard deviation.

In this case, the data set is: 22, 44, 43, 63, 22, 27, 58, 65. To find the standard deviation, you can use a calculator or computer. The correct answer is option d) 16.8.