Question

Determine the whole number of standard deviation that includes all data values. The mean price of the nonfiction books on a best-sellers list is $20.98; the standard deviation is $2.18.

Answer 1

All of the values fall within 2 standard deviations of the mean.

Step-by-step explanation:

The mean is 20.98 and the standard deviation is 2.18. To know the number of standard deviations that include all the values, we need to identify the minimum and maximum values. In this case, they are $18.00 and $24.00 respectively.

Now, the values within 1 standard deviation of the mean are:

20.98 - 2.18 = 18.8

20.98 + 2.18 =23.16

The values within 2 standard deviations of the mean are

20.98 - 2(2.18) = 16.62

20.98+ 2(2.18) = 25.34

Since 16.62 is lower than 18 and 25.34 is greater than 24, we can say that all the data fall within 2 standard deviations of the mean.