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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

Thousands of students apply for admission to graduate schools in economics each year with the intention of obtaining a PhD. The Southern Economic Journal (April 2008) published a guide to graduate study in economics by ranking the PhD programs at 129 colleges and universities. Each program was evaluated according to the number of publications published by faculty teaching in the PhD program and by the quality of the publications. Data obtained from the Social Science Citation Index (SSCI) were used to calculate an overall productivity score for each PhD program. The mean and standard deviation of these 129 productivity scores were then used to compute a z-score for each economics program. Harvard University had the highest z-score 1z = 5.082 and, hence, was the top-ranked school; Howard University was ranked last because it had the lowest z-score 1z = -0.812. The data (z-scores) for all 129 economic programs are saved in the data file.

a. Interpret the z-score for Harvard University.

b. Interpret the z-score for Howard University.

c. The authors of the Southern Economic Journal article note that 鈥渙nly 44 of the 129 schools have positive z-scores, indicating that the distribution of overall productivity is skewed to the right.鈥� Do you agree?

Ranking driving performance of professional golfers.A group of researchers developed a new method forranking the total driving performance of golfers on theProfessional Golf Association (PGA) tour (The Sport Journal,Winter 2007). The method requires knowinga golfer鈥檚 average driving distance (yards) and drivingaccuracy (percent of drives that land in the fairway).The values of these two variables are used to compute adriving performance index. Data for 40 PGA golfers (asranked by the new method for a recent tour year) aresaved in the accompanying file. The first five and last fiveobservations are listed in the table below.

a.Find the mean, median, and mode for the 40 driving performance index values.

b.Interpret each of the measures of central tendency, part a.

c.Use the results, part a,to make a statement about the type of skewness in the distribution of driving performance indexes. Support your statement with a graph.

Calculate the mode, mean, and median of the following data:

18 10 15 13 17 15 12 15 18 16 11

Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data鈥檚 distribution.

Construct a relative frequency histogram for the data summarized in the accompanying table.
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