# 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

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?

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Work                       Gender

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

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