Use the following data for problems

15

17

25

39

13

16

24

28

19

21

12

29

23

21

20

30

14

17

21

22

1.a

Find the 40th percentile.

1.b

Find the maximum and the minimum.

1.c

Find Q1, the median, and Q3.

1.d

Find the IQR.

1.e

Create a box plot.

1.f

Is the maximum value an outlier? Show your work.

1.g

Find the mean and the mode.

1.h

What is the percentile rank of x = 19?

2

An industrial engineer in a factory finds that the time for workers to complete a task is normally distributed with population mean = 32 minutes and population standard deviation = 3 minutes. What proportion of the workers complete the task in between 29 to 35 minutes?

3.a

If you are working with severely skewed data (data that has extreme outliers), what is the best measure of central tendency to use? Pick one.

the mean

the mode

the median

3.b

If you are working with severely skewed data, which measure of variability (measure of dispersion) is most resistant to extreme values?

the IQR

the variance

the standard deviation

the range

4

Use the following data for problem 4.

x

x -

(x - )2

Data: 9, 8, 7, 10, 9, 5

Find the standard deviation.

5

A normally distributed population has population mean = 100 and population standard deviation = 6. What proportion of the population must be between x =82 and x = 118?

6

Find the mean and mode of the following data:

42 31 50 37 28 50 35

7

A normally distributed population has population mean = 105 and population standard deviation = 12. Create limits that will enclose 95% of the population.

8

For the same population as problem 7 (population mean = 105 and population standard deviation = 12) find limits that enclose 68 % of the population.

9

Use the following data for problem 9:

15

21

19

18

12

20

21

9.a

Find the mean.

9.b

Find the standard deviation. Assume that the data represents a sample.

9.c

Find the variance. Assume that the data represents a sample.

9.d

Find the mode

9.e

Find the median

10

The speed of cheetahs is normally distributed with population mean = 70 miles per hour with population standard deviation = 1.8 miles per hour. Create limits that will include 99.7% of the data.