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Chapter 2: Q. 2.116 (page 74)

Clocking the Cheetah. Construct a relative-frequency polygon for the speed data given in Exercise 2.89. Use the classes specified in that exercise.

Short Answer

Expert verified

Figure depicts the relative frequency polygon.

Step by step solution

01

Given Information 

Given in the question that, to refer exercise 2.89. We have to construct a relative-frequency polygon for the speed.

02

Explanation 

From the result of previous exercise,

classFrequencyRelative frequency
52-<54
2
0.057
54-<56
5
0.143
56-<58
6
0.171
58-<60
8
0.229
60-<62
7
0.2
62-<64
3
0.086
64-<66
2
0.057
66-<68
1
0.029
68-<70
0
0
70-<72
0
0
72-<74
0
0
74-<76
1
0.029
Total35
1
03

Explanation 

The midpoints are located in the middle of two lower limits:

53,55,57,59,61,63,65,67,69,71,73,75

As indicated below, add the above points to the graphs and connect them with a straight line.

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Most popular questions from this chapter

This exercise deals with truncated graphs.

a. What is a truncated graph?

b. Give a legitimate motive for truncating the axis of a graph.

c. If you have a legitimate motive for truncating the axis of a graph, how can you correctly obtain that objective without creating the possibility of misinterpretation?

Sample distribution.

Suppose that you have a data set that contains a large number of observations. Which graphical display is generally preferable; a histogram or a stem-and-leaf diagram? Explain your answer.

Forearm Length. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we present on the Weiss Stats site.

a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

Standard Normal Distribution. One of the most important distributions in statistics is the standard normal distribution. We discuss this distribution in detail in Chapter 6.

a. Use the technology of your choice to generate a sample of 3000 observations from a variable that has the standard normal distribution.

b. Use the technology of your choice to get a relative-frequency histogram for the 3000 observations that you obtained in part (a).

c. Based on the histogram you obtained in part (b), what specific shape does the standard normal distribution have? Explain your reasoning.
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