Question

Find the standard deviation of the following shopping times (in minutes) for a sample of 5 shoppers at a particular grocery store: 43, 43, 25, 21, 43.

Answer 1

To find the standard deviation of the given shopping times, follow these steps: find the mean, find the deviation of each time from the mean, square each deviation, find the average of squared deviations, and finally take the square root of the average squared deviation.

Step-by-step explanation:

To find the standard deviation of the given shopping times, you can follow these steps:

1. Find the mean of the shopping times. Add all the shopping times together and divide by the number of shoppers, which in this case is 5. 43 + 43 + 25 + 21 + 43 = 175. 175/5 = 35.
2. Find the deviation of each shopping time from the mean. Take each shopping time and subtract the mean. For example, the deviation for the first shopping time (43) would be 43 - 35 = 8.
3. Square each deviation. For example, the squared deviation for the first shopping time would be 8^2 = 64.
4. Find the average of the squared deviations. Add up all the squared deviations and divide by the number of shoppers. (64 + 64 + 100 + 196 + 64)/5 = 88.
5. Take the square root of the average squared deviation. In this case, the standard deviation would be √88 ≈ 9.38.