Dot Plot of Body Temperatures constructs a dot plot of the body temperatures listed in Exercise 1. Which does a better job of illustrating the distribution of the data: the histogram from Exercise 2 or the dot plot?

Short Answer

Expert verified

The following dot plot is constructed.

The histogram is a better graphical representation for the data on body temperatures as it utilizes a fewer number of classes/points and displays the data more compactly and effectively.

Step by step solution

01

Given information

Data are given on body temperatures of 20 subjects measured in degrees Fahrenheit.

Refer to Exercise 1 for the data.

97.1 97.2 97.5 97.6 97.6 97.8 98.0 98.0 98.2 98.2

98.2 98.3 98.4 98.6 98.6 98.7 98.7 98.9 99.1 99.4

02

Describe a dot plot

A dot plot is a graph that displays the frequencies of observations using a point along a reference number line marked horizontally.

The points are plotted corresponding to this horizontal axis.

If observations are recurring, the points are stacked over one another.

03

Sketch the dot plot

The following steps are adopted to sketch the dot plot for the given data.

  • Mark the values from 97.0 to 99.5 on a horizontal scale with a gap of 0.5 units between each successive value.
  • Mark the points above the corresponding value of the temperature. If observations get repeated, place a point above the previous point.
  • Label the horizontal axis as ‘Body Temperature’.

The following dot plot is constructed.

04

State the differences between the dot plot and the histogram

Refer to Exercise 2 for the histogram of the data.

A dot plot consists of points for all the values in the data. This can sometimes make the plot messy and difficult to comprehend, especially if there are a large number of values.

A histogram summarizes all the values into a few class intervals. This makes the representation more concise and easy to understand.

Therefore, a histogram is better than a dot plot to depict the temperatures as it uses fewer values/classes and makes the graph easy to understand.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Cookies Using the same frequency distribution from Exercise 1, identify the class boundaries of the first class and identify the class limits of the first class.

Chocolate Chips

Frequency

18-20

6

21-23

11

24-26

18

27-29

4

30-31

1

Scatterplot. In Exercises 5–8, use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?

Brain Volume and IQ The table lists brain volumes (cm3 ) and IQ scores of five males (from Data Set 8 “IQ and Brain Size” in Appendix B).

Brain Volume

1173

1067

1347

1029

1204

IQ

101

93

94

97

113

Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the relative frequency distribution.

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhoea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Scatterplot What is a scatterplot and how does it help us?

Blood Platelet Counts If we collect a sample of blood platelet counts much larger than the sample included with Exercise 3, and if our sample includes a single outlier, how will that outlier appear in a histogram?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free