3.1

13 The mean is 30.52 mpg, the median is 31.3 mpg, there is no mode.

14 The mean is 93.1, the median is 87.9, there is no mode.

15 The mean strength is 3670 psi, median strength is 3830 psi, and mode strength is 4090 psi.

16 The mean is 266, the median is 266, the mode is 260.

17

  1. The mean is greater than the median because since it is right skewed, the mean will be more towards the right than the median.

  2. The mean is equal to the median because it is a bell curve.

  3. The mean is less than the median because since it is left skewed, the mean will be more towards the left than the median.

3.2

5 The sample variance is 36, the standard deviation is 6.

6 The sample variance is 100, the standard deviation is 10.

7 The population variance is 16, the standard deviation is 4.

8 The population variance is 64, the standard deviation is 8.

9 The sample variance is 196, the standard deviation is 14.

10 The population variance is 25, the standard deviation is 5.

14 The range is 25, the standard deviation is 8.43.

24

  1. 6 seconds

  2. It is appropriate to use the Empirical Rule because the histogram is bell shaped.

  3. 95%

  4. 93%

  5. 16%

  6. 11%