3.1

13 mean: 30.5 median: 31.3 mode:no mode

14 mean: 93.1 median:87.9 mode: no mode

15 mean:3670 median:3830 mode:4090

16 mean:266 median:266 mode:260

17

  1. the mean is greater than the median because the data is skewed right so the higher values pull the mean to a higher value.

  2. the mean is approximately equal to the median because the data is normally distributed.

  3. the mean is less than the median because the data is skewed left. The lower values pull the mean below the median.

3.2

5 s variance: 36 s st dev: 6

6 s variance: 100 s st dev: 10

7 p variance: 16 p st dev: 4

8 p variance: 64 p st dev: 8

9 s variance: 196 s st dev: 14

10 p variance: 25 p st dev: 5

14 s st dev: 8.43 range: 25

24

  1. 6 seconds

  2. to use the empirical rule, the data needs to be roughly normally distributed, which does roughly apply to this data set.

  3. 95 percent of the data falls between 92 and 116 seconds

  4. 92.9 percent

  5. 13.5 percent

  6. 11.9 percent