Question

A certain gym selected a random sample of 10 customers and monitored the number of times each customer used the workout facility in a​ one-month period. The data are shown in the table below. The​ gym's managers are considering a promotion in which they reward frequent users with a small gift. They have decided that they will only give gifts to those customers whose number of visits in a​ one-month period is 1 standard deviation above the mean. Find the minimum number of visits required to receive a gift.

19,16,16,15,18,22,19,17,14,13

The minimum number of visits required to receive a gift is:

​(Type a whole​ number.)

Answer 1

Mean Calculation

Mean = 16.9

Standard Deviation Calculation

In this case, Mean = 16.9

Standard Deviation SD = 2.6854

As gifts will be given to customers whose number of visits in a​ one-month period is 1 standard deviation above the mean.

Minimum number of visits = Mean + SD = 16.9 + 2.6854 = 19.5854

As no. of visits cannot be in decimal places.

Minimum number of visits = 20

The minimum number of visits required to receive a gift is: 20