Q. 2.110 - Elementary Statistics

Question

Body Temperature. A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is $98.6^{\circ }F$. The results of the study by P. Mackowiak et al. appeared in the article "A Critical Appraisal of $98.6^{\circ }F$" 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?

Step-by-Step Solution

Answer

(a)

(b) 

(c)  

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

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.

Part (a) Step 2: Explanation

The frequency distribution is 

The frequency histogram is 

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.

Part (b) Step 2: Explanation

The dot plot of the temperatures is 

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.

Part (c) Step 2: Explanation

 The stem-and-leaf diagram of the temperatures. 

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.

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.