statistic

| November 18, 2015
Exercise 4.1
Check your answers against those in the ANSWER section.

Listed below are the selling prices (in thousands of dollars) of a sample of 20 vehicles sold by salespeople employed by Ray Steele Auto Group in Albuquerque, New Mexico.

a.   Sort the data from low to high.      b.   Draw a dot plot for the data.

 

26    21    18    22    29

28    28    25    28    24

30    22    35    35    25

35    25    20    37    26

 

Exercise 4.2
Check your answers against those in the ANSWER section.

The Jansen Motor Company has developed a new engine to further reduce gasoline consumption. The new engine was put in 20 mid-sized cars and the number of miles per gallon recorded (to the nearest mile per gallon).

Use the Jansen Motor Company data to construct a stem-and-leaf chart.

 

29      32    20     30     39

27      28    21     36     20

27      18    32     37     29

30      23    25     19     30

 

 

   Exercise 4.3
Check your answers against those in the ANSWER section.

Listed to the right are the selling prices (in thousands of dollars) for a sample of 19 lakeside lots in Pinnacle Peak, a vacation home community in the Blue Ridge mountains.

Determine the following:

a.   the first quartile     b.   the third quartile

c.   the median             d.   Draw a box plot for the data.

 

86    61   148     81

39  142   140     65

28    85     90     92

25    50     85     85

82  120   137

 

 

 

            Exercise 4.4

Check your answers against those in the ANSWER section.

An automobile dealership pays its salespeople a salary plus a commission on sales. The mean biweekly commission is $1385, the median $1330, and the standard deviation $75.

a.   Is the distribution of commissions positively skewed, negatively skewed, or symmetrical?

b.   Compute the coefficient of skewness to verify your answer.

 

Exercise 4.5

Check your answers against those in the ANSWER section.

The fuel tank capacity in gallons and the cruising range is given for 6 SUV’s.

a.   Develop a scatter diagram for the data.

b.   How would you characterize the relationship between fuel tank capacity and cruising range?

 

Capacity in gallons

Cruising range in miles

22

445

21

405

23

410

24

420

24

365

25

380

 

Work                       Gender

place Male female Total
Home 8 14 22
office 12 6 18
Total 20 20 40

 

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