Body Temperature. A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6F. The results of the study by P. Mackowiak et al. appeared in the article "A Critical Appraisal of 98.6F" the Upper Limit of the Normal Body Temperature, and Other Legacies of Cart Reinhold August Wunderlich" (Journal of the American Medical Association, Vol. 268, pp. 1578-1580). Among other data, the researchers obtained the body temperatures of 93 healthy humans, as provided on the WeissStats site. Use the technology of your choice to obtain and interpret

a. a frequency histogram or a relative-frequency histogram of the temperatures.

b. a dot-plot of the temperatures.

c. a stem-and-leaf diagram of the temperatures.

d. Compare your graphs from parts (a)-(c). Which do you find most useful?

Short Answer

Expert verified

(a)

(b)

(c)

(d) The histogram and dot plot appear to be equally useful.

Step by step solution

01

Part (a) Step 1: Concept introduction

When there are a lot of facts to evaluate, stem-and-leaf storyline visualizations are usually applied. These infographics are generally used to track a succession of scoring on athletics, a succession of thermometers or showers during time, or a sequence of teaching academic achievement, to give these few possibilities.

02

Part (a) Step 2: Explanation

The frequency distribution is

The frequency histogram is

03

Part (b) Step 1: Concept introduction

When there are a lot of facts to evaluate, stem-and-leaf storyline visualizations are usually applied. These infographics are generally used to track a succession of scoring on athletics, a succession of thermometers or showers during time, or a sequence of teaching academic achievement, to give these few possibilities.

04

Part (b) Step 2: Explanation

The dot plot of the temperatures is

05

Part (c) Step 1: Concept introduction

When there are a lot of facts to evaluate, stem-and-leaf storyline visualizations are usually applied. These infographics are generally used to track a succession of scoring on athletics, a succession of thermometers or showers during time, or a sequence of teaching academic achievement, to give these few possibilities.

06

Part (c) Step 2: Explanation

The stem-and-leaf diagram of the temperatures.

07

Part (d) Step 1: Concept introduction

When there are a lot of facts to evaluate, stem-and-leaf storyline visualizations are usually applied. These infographics are generally used to track a succession of scoring on athletics, a succession of thermometers or showers during time, or a sequence of teaching academic achievement, to give these few possibilities.

08

Part (d) Step 2: Explanation

Because there are only four stems, the stem and leaf diagram isn't very useful. Because the distribution of the data values is shown in both graphs, the histogram and dot plot appear to be equally useful.

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Most popular questions from this chapter

Provide a reason why the classification of data is important

San Francisco Giants. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series-winning San Francisco Giants baseball team.

a. Construct a stem-and-leaf diagram of these data with five lines per stem.

b. Why is it better to use five lines per stem here instead of one or two lines per stem?

In a current newspaper or magazine, find two examples of graphs that might be misleading. Explain why you think the graphs are potentially misleading.

Body Temperature. A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6~F. The results of the study by P. Mackowiak et al. appeared in the article " A Critical Appraisal of 98.6F, the Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association, Vol. 268, pp. 1578-1580). Among other data, the researchers obtained the body temperatures of 93 healthy humans, as provided on the Weists state 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.

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.

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