Chapter 2: Problem 57
What is a stacked dotplot, and how is it used? Explain.
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Chapter 2: Problem 57
What is a stacked dotplot, and how is it used? Explain.
These are the key concepts you need to understand to accurately answer the question.
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Since 1996 , Slate.com has determined the Slate 60 , which is a list of the largest American charitable contributions by individuals each year. The accompanying table gives the names of the 22 persons and the money they donated in 2008 . $$ \begin{array}{lc} \hline \text { Donor } & \begin{array}{c} \text { Donation } \\ \text { (millions of dollars) } \end{array} \\ \hline \text { Harold Alfond } & 360 \\ \text { Donald B. and Dorothy L. Stabler } & 334.2 \\ \text { David G. and Suzanne D. Booth } & 300 \\ \text { Frank C. Doble } & 272 \\ \text { Robert L. and Catherine H. McDevitt } & 250 \\ \text { Michael R. Bloomberg } & 235 \\ \text { Dorothy Clarke Patterson } & 225 \\ \text { Richard W. Weiland } & 174.3 \\ \text { Helen L. Kimmel } & 156.5 \\ \text { Jeffrey S. Skoll } & 144.1 \\ \text { H. F. (Gerry) and Marguerite B. Lenfest } & 139.9 \\ \text { David Rockefeller } & 137.8 \\ \text { Stephen A. Schwarzman } & 105 \\ \text { David H. Koch } & 100 \\ \text { Gerhard R. Andlinger } & 100 \\ \text { Eli and Edythe L. Broad } & 100 \\ \text { Philip H. and Penelope Knight } & 100 \\ \text { Kenneth G. and Elaine A. Langone } & 100 \\ \text { Fritz J. and Dolores H. Russ } & 94.8 \\ \text { Frank Sr. and Jane Batten } & 93 \\ \text { Jesse } \mathrm{H} \text { , and Beulah C. Cox } & 83.5 \\ \text { Henry R. and Marie-Josée Kravis } & 75 \\ \hline \end{array} $$ a. Construct a frequency distribution table using the following classes: 75 to less than 125,125 to less than 175,175 to less than 225, and so on. b. Calculate the relative frequencies and percentages for all classes.
The data on the status of 50 students given in Table \(2.2\) of Section \(2.1\) are reproduced here. $$ \begin{array}{llllllllll} \text { J } & \text { F } & \text { SO } & \text { SE } & \text { J } & \text { J } & \text { SE } & \text { J } & \text { J } & \text { J } \\ \text { F } & \text { F } & \text { J } & \text { F } & \text { F } & \text { F } & \text { SE } & \text { SO } & \text { SE } & \text { J } \\ \text { J } & \text { F } & \text { SE } & \text { SO } & \text { SO } & \text { F } & \text { J } & \text { F } & \text { SE } & \text { SE } \\ \text { SO } & \text { SE } & \text { J } & \text { SO } & \text { SO } & \text { J } & \text { J } & \text { SO } & \text { F } & \text { SO } \\ \text { SE } & \text { SE } & \text { F } & \text { SE } & \text { J } & \text { SO } & \text { F } & \text { J } & \text { SO } & \text { SO } \end{array} $$ a. Prepare a frequency distribution table. b. Calculate the relative frequencies and percentages for all categories. c. What percentage of these students are juniors or seniors? d. Draw a bar graph for the frequency distribution.
a data set on monthly expenditures (rounded to the nearest dollar) incurred on fast food by a sample of 500 households has a minimum value of $$\$ 3$$ and a maximum value of $$\$ 147 .$$ Suppose we want to group these data into six classes of equal widths. a. Assuming that we take the lower limit of the first class as $$\$ 1$$ and the upper limit of the sixth class as $$\$ 150$$, write the class limits for all six classes. b. Determine the class boundaries and class widths. c. Find the class midpoints.
Twenty-four students from universities in Connecticut were asked to name the five current members of the U.S. House of Representatives from Connecticut. The number of correct names supplied by the students are given below. $$ \begin{array}{llllllllllll} 4 & 2 & 3 & 5 & 5 & 4 & 3 & 1 & 5 & 4 & 4 & 3 \\ 5 & 3 & 2 & 3 & 1 & 3 & 2 & 5 & 2 & 1 & 5 & 0 \end{array} $$ a. Prepare a frequency distribution for these data using single-valued classes. b. Compute the relative frequency and percentage distributions. c. What percentage of the students in this sample named fewer than two of the representatives correctly? d. Draw a bar graph for the relative frequency distribution.
The following data give the time (in minutes) that each of 20 students waited in line at their bookstore to pay for their textbooks in the beginning of Spring 2009 semester. (Note: To prepare a stem-andleaf display, each number in this data set can be written as a two-digit number. For example, 8 can be written as 08 , for which the stem is 0 and the leaf is 8 .) $$ \begin{array}{rrrrrrrrrr} 15 & 8 & 23 & 21 & 5 & 17 & 31 & 22 & 34 & 6 \\ 5 & 10 & 14 & 17 & 16 & 25 & 30 & 3 & 31 & 19 \end{array} $$ Construct a stem-and-leaf display for these data. Arrange the leaves for each stem in increasing order.
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