Question

Plz help me!!

The data below represents the number of medals won by the top ten countries in the 2014

Winter Olympics. If the mean is 20.4 and the standard deviation is 7.9, circle all values that

fall within one standard deviation of the mean.

6, 11, 15, 17, 19, 24, 25, 26, 28, 33

Answer 1

You should circle:

15, 17, 19, 24, 25, 26, 28

Explanation:

The values x that falls within 1 standard deviation of the mean are those which.

`|x - 20.4| \leq 7.9`

6

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

11

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

15

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

17

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

19

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

24

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

25

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

26

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

28

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

33

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.