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Chapter 2: Q18E (page 82)

Question:A company is analysing the prices at which its items are sold. Graph the relative frequency histogram for the 600 items summarized in the accompanying relative frequency table.

Short Answer

Expert verified

A graph that displays frequencies using vertical columns. And there are no spaces among the bars.

Step by step solution

01

Frequency histogram

A frequency histogram is a graph of a frequency and percentage in which the width, as well as location of rectangles, represent the different classes, as well as the height of those rectangles, represents the regularity with which data fell into the corresponding class. A graph that displays frequencies using vertical columns. And there are no spaces among the bars.

02

Measurement classes

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Most popular questions from this chapter

Consider the following two sample data sets.

Sample A

Sample B

121, 171, 158, 173, 184, 163, 157, 85, 145, 165, 172, 196, 170, 159, 172, 161, 187, 100, 142, 166, 171

171, 152, 170, 168, 169, 171, 190, 183, 185, 140, 173, 206, 172, 174, 169, 199, 151, 180, 167, 170, 188

a.Construct a box plot for each data set.

b.Identify any outliers that may exist in the two data sets.

Answer the following questions about the variability of data sets:

a.What is the primary disadvantage of using the range to compare the variability of data sets?

b.Describe the sample variance using words rather than a formula. Do the same with the population variance.

c.Can the variance of a data set ever be negative? Explain. Can the variance ever be smaller than the standard deviation? Explain.

Parking at a university has become a problem. The university鈥檚 administrators are interested in determining the average time it takes a student to find a parking spot. An administrator inconspicuously followed 190 students and recorded how long it took each of them to find a parking spot. The durations had a distribution that was skewed to the left. Based on this information, discuss the relationship between the mean and the median for the 190 times collected.

Performance ratings of government agencies.The U.S. Office of Management and Budget (OMB) requires government agencies to produce annual performance and accounting reports (PARS) each year. A research team at George Mason University evaluated the quality of the PARS for 24 government agencies (The Public Manager, summer 2008). Evaluation scores ranged from 12 (lowest) to 60 (highest). The PARS evaluation scores for two consecutive years are shown in the next table.

a.Construct a scatterplot for the data. Do you detect atrend in the data?

b.Based on the graph, identify one or two agencies that hadgreater than expected PARS evaluation scores for year 2.

Spreading rate of spilled liquid.A contract engineer atDuPont Corp. studied the rate at which a spilled volatileliquid will spread across a surface (Chemical EngineeringProgress, January 2005). Assume 50 gallons of methanol

spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-freeconvection) to calculate the mass (in pounds) of the spillafter a period of time ranging from 0 to 60 minutes. The calculatedmass values are given in the table. Is there evidenceto indicate that the mass of the spill tends to diminish astime increases?

Support your answer with a scatterplot.
See all solutions

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