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Chapter 2: Q. 2.147 (page 82)

Cholesterol Levels. According to the National Health and Nutrition Examination Survey, published by the Centers for Disease Control and Prevention, the average cholesterol level for children between 4 and 19 years of age is 165mg /dl. A pediatrician who tested the cholesterol levels of several young patients was alarmed to find that many had levels higher than 200mg / dL. The following relative frequency histogram shows the readings for some patients who had high cholesterol levels.

Short Answer

Expert verified

The distribution is roughly symmetric.

Step by step solution

01

Given Information

To determine whether the given graph is symmetric, right-skewed, or left-skewed.

02

Explanation

A relative frequency histogram is a variant of the standard frequency histogram. We use this axis to express the overall proportion of data values that fall into this bin, rather than utilizing a vertical axis to represent the count of data values that fall into a certain bin.

Let's consider the given graph:

The highest peak in the graph is nearly in the middle of the histogram. Therefore, the distribution is roughly symmetric.

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Most popular questions from this chapter

Explain the advantages and disadvantages of frequency histograms versus frequency distributions.

Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

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?

PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. W. Risebrough, is titled "Effects of Environmental Pollutants Upon Animals Other Than Man" (Proceedings of the 6ed Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443-463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). Following is a relative-frequency histogram of the PCB concentration data.

Construct a stem-and-leaf diagram for the data, using one line per stem.

What is the relationship between a frequency or relative frequency distribution of a quantitative data set and that of a qualitative data set?
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