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Chapter 2: Problem 31

Briefly explain how to prepare a dotplot for a data set. You may use an example to illustrate.

Short Answer

Expert verified
A dot plot can be prepared by identifying the variables, setting up the scale on your axes based on the range of your data, plotting a dot for each data point above its corresponding value, and making sure to label your axes for clarity.

Step by step solution

01

Identify the Variables

Decide on the data set for which the dot plot is to be created. The vertical axis will typically show the frequency of each value, while the horizontal axis will display the different values from the data set.
02

Set Up Your Scale

Based on the minimum and maximum values of your variables, set up the scale on your horizontal axis. Be sure to evenly space out your increments.
03

Plot the Data

For each data point in your set, make a dot above the corresponding value on the horizontal axis. If a value appears more than once, the dots are stacked vertically.
04

Label the Axes

Finally, make sure to label each axis so the viewer understands what data they are looking at. The label typically includes the name of the variable and the unit of measurement, if applicable.

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Most popular questions from this chapter

$$ \begin{aligned} &\text { Consider the following stem-and-leaf display. }\\\ &\begin{array}{l|lllllllllll} 2-3 & 18 & 45 & 56 & * & 29 & 67 & 83 & 97 & & & \\ 4-5 & 04 & 27 & 33 & 71 & * & 23 & 37 & 51 & 63 & 81 & 92 \\ 6-8 & 22 & 36 & 47 & 55 & 78 & 89 & * & * & 10 & 41 & \end{array} \end{aligned} $$ $$ \text { Write the data set that is represented by this display. } $$

How are the relative frequencies and percentages of categories obtained from the frequencies of categories? Illustrate with the help of an example.

A data set on money spent on lottery tickets during the past year by 200 households has a lowest value of \(\$ 1\) and a highest value of \(\$ 1167\). 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 width of each class equal to \(\$ 200\), write the class limits for all six classes. b. Find the class midpoints.

The following data show the method of payment by 16 customers in a supermarket checkout line. Here, \(\mathrm{C}\) refers to cash, CK to check, \(\mathrm{CC}\) to credit card, \(\mathrm{D}\) to debit card, and \(\mathrm{O}\) stands for other. $$ \begin{array}{llllllll} \text { C } & \text { CK } & \text { CK } & \text { C } & \text { CC } & \text { D } & \text { O } & \text { C } \\ \text { CK } & \text { CC } & \text { D } & \text { CC } & \text { C } & \text { CK } & \text { CK } & \text { CC } \end{array} $$ a. Construct a frequency distribution table. b. Calculate the relative frequencies and percentages for all categories. c. Draw a pie chart for the percentage distribution.

The following data give the one-way commuting times (in minutes) from home to work for a random sample of 50 workers. $$ \begin{array}{llllllllll} 23 & 17 & 34 & 26 & 18 & 33 & 46 & 42 & 12 & 37 \\ 44 & 15 & 22 & 19 & 28 & 32 & 18 & 39 & 40 & 48 \\ 16 & 11 & 9 & 24 & 18 & 26 & 31 & 7 & 30 & 15 \\ 18 & 22 & 29 & 32 & 30 & 21 & 19 & 14 & 26 & 37 \\ 25 & 36 & 23 & 39 & 42 & 46 & 29 & 17 & 24 & 31 \end{array} $$ a. Construct a frequency distribution table using the classes \(0-9\), \(10-19,20-29,30-39\), and \(40-49 .\) b. Calculate the relative frequency and percentage for each class. c. Construct a histogram for the percentage distribution made in part b. d. What percentage of the workers in this sample commute for 30 minutes or more? e. Prepare the cumulative frequency, cumulative relative frequency, and cumulative percentage distributions using the table of part a.
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