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Chapter 2: Problem 56

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

Short Answer

Expert verified
To prepare a dot plot, you need to first understand what a dot plot is. Next, decide on the data set that you want to use. Select a scaling system, then plot your data according to that scale. In cases where a value repeats, stack the dots vertically. Finally, review your dot plot to ensure all data points have been correctly plotted.

Step by step solution

01

Understanding Dot Plots

A dot plot is a type of graphical representation for statistical data. Each dot represents an observation from the data.
02

Identify the Data Set

Select the data set you wish to represent in the Dot Plot. For the sake of this example, let's use the following data set: [3, 7, 8, 5, 12, 14, 21, 15, 18, 14].
03

Choose the appropriate scale

The scale can be based on the actual values in your data or you could make a scale that best fits the range of your data. In this example, considering the range of the data set, a scale from 1-25 on the x-axis seems appropriate.
04

Plot the data

Put a dot above the number on the x-axis corresponding to each data point in the set. If a number repeats, stack the dots vertically. Accordingly, for the number 14 (which appears twice in the data set), two dots should be stacked above the number 14 on the x-axis.
05

Review the Dot Plot

Make sure all data points have been included in the plot. The plot should give a quick visual summary of the data. It will allow you to see the distribution, frequency, and range of the set.

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Most popular questions from this chapter

The following data give the number of times each of the 30 randomly selected account holders at a bank used that bank's ATM during a 60 -day period. \(\begin{array}{llllllllll}3 & 2 & 3 & 2 & 2 & 5 & 0 & 4 & 1 & 3 \\ 2 & 3 & 3 & 5 & 9 & 0 & 3 & 2 & 2 & 15 \\ 1 & 3 & 2 & 7 & 9 & 3 & 0 & 4 & 2 & 2\end{array}\) Crente a dotplot for these data and point out any clusters or outliers.

Briefly explain how to prepare a stem-and-leaf display for a data set. You may use an example to illustrate.

What advantage does preparing a stem-and-leaf display have over grouping a data set using a frequency distribution? Give one example.

Briefly explain the three decisions that have to be made to group a data set in the form of a frequency distribution table.

The following data give the amounts (in dollars) spent on refreshments by 30 spectators randomly selected from those who patronized the concession stands at a recent Major League Baseball game. \(\begin{array}{rrrrrrrr}4.95 & 27.99 & 8.00 & 5.80 & 4.50 & 2.99 & 4.85 & 6.00 \\ 9.00 & 15.75 & 9.50 & 3.05 & 5.65 & 21.00 & 16.60 & 18.00 \\ 21.77 & 12.35 & 7.75 & 10.45 & 3.85 & 28.45 & 8.35 & 17.70 \\ 19.50 & 11.65 & 11.45 & 3.00 & 6.55 & 16.50 & & \end{array}\) a. Construct a frequency distribution table using the less-than method to write classes. Take \(\$ 0\) as the lower boundary of the first class and \(\$ 6\) as the width of each class. b. Calculate the relative frequencies and percentages for all classes. c. Draw a histogram for the frequency distribution.
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