Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 2.3, Problem 17E

BMW prices: The following table presents the manufacturer’s suggested retail price (in $1000s) for 2003 base models and styles of BMW automobiles.

Chapter 2.3, Problem 17E, BMW prices: The following table presents the manufacturers suggested retail price (in $1000s) for

Source: autos.yahoo.com

  1. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 3 through 14 as the stems.
  2. Repeat part (a), but split the stems, using two lines for each stem.
  3. Which stem-and-leaf plot do you think is more appropriate for these data, the one in part (a) or the one in part (b)’ Why?

a.

Expert Solution
Check Mark
To determine

To construct: A stem-and-leaf plot, using the numbers 3 through 14 as the stems by rounding the data to the nearest whole number.

Explanation of Solution

Given information:The following table presents the manufacturer’s suggested retail price for 2003 base models and styles of BMW automobiles.

    50.189.855.290.530.862.738.9
    70.448.089.247.586.253.490.2
    55.293.539.373.660.1140.731.2
    64.244.180.638.668.832.564.2
    56.796.736.965.059.8114.743.3
    74.957.7108.447.482.444.077.6
    55.793.747.586.8

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

Rounding the data to the nearest whole number as follows:

    50905591316339
    70488948865390
    559439746014131
    64448139693364
    579737656011543
    755810847824478
    56944887

The stem-and-leaf plot for the given data is given by

  3           11379994           34478885           03556786           00344597           04588           126799           00144710          811          5121314          1

b.

Expert Solution
Check Mark
To determine

To construct: A stem-and-leaf plot, using the numbers 3 through 14 as the stems by rounding the data to the nearest whole number and to split the stems using twolines for each stem.

Explanation of Solution

Given information: The following table presents the manufacturer’s suggested retail price for 2003 base models and styles of BMW automobiles.

    50.189.855.290.530.862.738.9
    70.448.089.247.586.253.490.2
    55.293.539.373.660.1140.731.2
    64.244.180.638.668.832.564.2
    56.796.736.965.059.8114.743.3
    74.957.7108.447.482.444.077.6
    55.793.747.586.8

Definition used: Stem plot is a tool to visualize the shape of a distribution.

Calculation:

Rounding the data to the nearest whole number as follows:

    50905591316339
    70488948865390
    559439746014131
    64448139693364
    579737656011543
    755810847824478
    56944887

Now the stem-and-leaf plot for the given data by splitting the stem using two lines for each stem is given by

  3           1133           79994           3444           78885           035           556786           003446           597           047           588           128           6799           001449           710          10           811          11           51212131314          114

c.

Expert Solution
Check Mark
To determine

To find:The stem-and-leaf plot which is more appropriate for the data.

Answer to Problem 17E

The part (a) stem-and-leaf plot is more appropriate because part (b).

Explanation of Solution

Given information:The following table presents the manufacturer’s suggested retail price for 2003 base models and styles of BMW automobiles.

    50.189.855.290.530.862.738.9
    70.448.089.247.586.253.490.2
    55.293.539.373.660.1140.731.2
    64.244.180.638.668.832.564.2
    56.796.736.965.059.8114.743.3
    74.957.7108.447.482.444.077.6
    55.793.747.586.8

From the stem-and-leaf plot above two parts (a) and (b), the part (a) stem-and-leaf plot is more appropriate because part (b) has too many stems with no leaves.

The stem-and-leaf plot in part (a) shows that most prices are in the 30’s, 40’s and 50’s and that the data is skewed to the right.

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Chapter 2 Solutions

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

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