Section S.3 – Solutions to the Practice Problems

1.

a. Skewed
b. Slightly left-skewed
c. No outliers, there are no scores that are much higher or lower than the rest of the data.

2.

a. Symmetric
b. Bell shaped
c. No outliers, there are no scores that are much higher or lower than the rest of the data.

3.

a. Skewed
b. Left-skewed
c. The exam score of 10 is an outlier

4.

a. Symmetric
b. Uniform
c. No outliers, there are no scores that are much higher or lower than the rest of the data.

5.

a. Symmetric
b. Bell shaped
c. The interval from 14-15.9 is an outlier

6.

a. $7.81
b. $7.75
c. $7.50, $8.00

7.

a. 20.81 sec
b. 19.95 sec
c. None

8. 430 and 480

9.

a. The mode is “dog”
b. The mode is the only measure of center useful for qualitative data.

10.

a. 0
b. 1.47
c. 1

11.

a. 2
b. 2.26
c. 2

12.
Mean = $129,400, Median = $30,000.
The median is a better measure of center for this data set.
The mean is pulled toward the one extremely large annual salary.
The median is a better representation of what the townspeople earn.

13.
Mean = 1.46875
Median = 1.5
Mode = 1.4 and 1.5

14.
Mean = $37.62 million
Median = $26.3 million
Mode = $8.1 million

15.
Mean = 12.43
Median = 12.5
Mode = 13

16.
Mean = 0.919
Median = 0.92
Mode = none

17.
Mean = 612.6
Median = 475
Mode = none

18.
Mean = 4.15
Median = 5
Mode = 1 and 7

19.
Mean = 3.85
Median = 3.5
Mode = 6

20.

a. False
b. False
c. True