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Chapter 1: Q. 69. (page 51)

DRP test scores There are many ways to measure the reading ability of children. One frequently used test is the Degree of Reading Power (DRP). In a research study on third grade students, the DRP was administered to 44 students. Their scores were as follows.

Make a histogram to display the data. Write a few sentences describing the distribution of DRP scores.

Short Answer

Expert verified

Because the highest bar is roughly in the middle of the histogram, the shape is roughly symmetric.

Because the center of a symmetric distribution is roughly in the middle of the histogram, the center is roughly at 35.

Speed: between 10 and 55 miles per hour

Outlier: No, because the histogram's bars are all adjacent.

Step by step solution

01

Given information. 

The DRP was administered to 44 third-grade students in a research study. Their results are as follows.

02

Step 2. Create a histogram to represent the data.

The first bar begins at 10 and ends at 15, and each subsequent bar has the same width of 5.

The height of the bars must equal the frequency of the class (number of values within the interval)

Because the highest bar is roughly in the middle of the histogram, the shape is roughly symmetric.

Because the center of a symmetric distribution is roughly in the middle of the histogram, the center is roughly at 35.

Speed: between 10 and 55 miles per hour

Outlier: No, because the histogram's bars are all adjacent.

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Most popular questions from this chapter

When comparing two distributions, it would be best to use relative frequency histograms rather than frequency histograms when

a. the distributions have different shapes.

b. the distributions have different amounts of variability.

c. the distributions have different centers.

d. the distributions have different numbers of observations.

e. at least one of the distributions has outliers

Multiple Choice Select the best answer.

Exercises 9 and 10 refer to the following setting. At the Census Bureau website www.census.gov, you can view detailed data collected by the American Community Survey.

The following table includes data for 10 people chosen at random from the more than 1 million people in households contacted by the survey. “School” gives the highest level of education completed.

This data set contains

(a) 7 variables, 2 of which are categorical.

(b) 7 variables, 1 of which is categorical.

(c) 6 variables, 2 of which are categorical.

(d) 6 variables, 1 of which is categorical.

(e) None of these.

Spam Email spam is the curse of the Internet. Here is a relative frequency table that summarizes data on the most common types of spam:

(a) What percent of spam would fall in the “Other” category?

(b) Make a bar graph to display the data. Describe what you see.

(c) Would it be appropriate to make a pie chart of these data? Explain.

Carbon dioxide emissions Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2 ), which contributes to global warming. The table displays CO2 emissions per person from countries with populations of at least 20 million. 30

Part (a). Make a histogram of the data using intervals of width 2, starting at 0.

Part (b). Describe the shape of the distribution. Which countries appear to be outliers

Quiz gradesRefer to Exercise 87.

(a) Find the range of Joey’s first 14 quiz grades and the range of Joey’s quiz grades after his unexcused absence.

(b) Explain what part (a) suggests about using the range as a measure of variability for a distribution of quantitative data.
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