Reading 3.1, #13 - 17

13

mean = $2025.25

median = $2209

mode = none

14

mean = $41.41

median = $40.76

mode = none

15 mean = 3620 psi

median = 3830 psi

mode = 4090 psi

16

mean = 265.71 minutes

median = 266 minutes

mode = 260 minutes

17 a. the mean will be greater than the median due to the higher numbered outliers

  1. the mean will be approximately equal to the median as the data is fairly distributed from a centered peak.

  2. the mean will be less than the median as there are more higher number of data points.

Reading 3.2, #5 - 10,14,24

5

sample variance = 36

standard deviation = 6

6

sample variance = 100

standard deviation = 10

7

population variance = 16

standard deviation = 4

8

population variance = 64

standard deviation = 8

9

sample variance = 196

standard deviation = 14

10

population variance = 25

standard deviation = 5

14

range = 25 minutes

sample standard deviation = 8.43 minutes

24 a. sample standard deviation = 6

  1. the data is definitely not evenly distributed but does make a bell shaped curve.

  2. 95% of eruptions are between 92 and 116 seconds

  3. 88.63% of eruptions actually occur between 92 and 116 seconds

  4. 50% of eruptions last less than 98 seconds

  5. 11.36% of eruptions last less than 98 seconds