3.1

13 type answers (Mean 30.52 mpg) (Median 31.3 mpg) (No mode since no data value occurs more than once)

14 type answers (Mean 93.1 minutes) (Median 87.9 minutes) (No mode since no data value occurs more than once)

15 type answers (Mean 3670 psi) (Median 3830 psi) (Mode is 4090 psi because it is the only value in the data that occurs twice)

16 type answers (Mean 266 minutes) (Median 266 minutes) (Mode 260 minutes since it is the only value in the data thatt occurs twice)

17

  1. type answer Since the histogram is skewed to the right, that implies that the mean is larger than the median.

  2. type answer The histogram looks to be normally distributed, so that implies that mean and median are relatively equal.

  3. type answer Since the histogram is skewed left, that implies that the mean is smaller than the median.

3.2

5 type answer S2=36 and S=6

6 type answer S2=100 and S=10

7 type answer O2=16 and O=4

8 type answer O2=64 and O=8

9 type answer S2=196 and S=14

10 type answer O2=10 and O=5

14 type answer Range is 25 minutes and the sample SD is 8.43 minutes

24

  1. 6 seconds

  2. 68% of the data will generally fall within the first standard deviation, 95% within the second standard deviation, and 99% within 3 standard deviations. It makes curves bell shaped and normal.

  3. Eruptions lasting between 92 and 116 are within 2 standard deviations, so that captures 95% of the data.

  4. 41/44 eruptions are between 92 and 116, so 93.2%

  5. 16% of the data will be less than 98 seconds. Since that is within one standard deviation of the mean, the empirical rule states that 68% of the data will be captured within that first standard deviation. That leaves 32% outside of it, 16% above and the same below, which is where that 98 seconds falls.

  6. 5/44 eruptions are less than 98 seconds, which is 12.2%