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Chapter 2: Q19E (page 82)

Question:Refer to Exercise 2.18 and calculate the number of the 600 items falling into each of the classes. Then graph a frequency histogram for these data.

Short Answer

Expert verified

A histogram can be defined as a set of rectangles with bases along with the intervals between class boundaries,

Step by step solution

01

Histogram

A histogram can be defined as a set of rectangles with bases and intervals between class boundaries. Each rectangle bar depicts some data, and all the rectangles are adjacent. The heights of rectangles are proportional to corresponding frequencies of similar as well as for different classes. Let's learn about histograms in more detail.

02

Computation table


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Most popular questions from this chapter

Using only integers between 0 and 10, construct two data sets with at least 10 observations each that have the same range but different means. Construct a dot plot for each of your data sets, and mark the mean of each data set on its dot diagram.

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.

Performance of stock screeners.Investment companies provide their clients with automated tools鈥攃alled stock screeners鈥攖o help them select a portfolio of stocks to invest in. The American Association of Individual Investors (AAII) provides statistics on stock screeners at its Website, www.aaii.com. The next table lists the annualized percentage return on investment (as compared to the Standard & Poor鈥檚 500 Index) for 13 randomly selected stock screeners. (Note:A negative annualized return reflects a stock portfolio that performed worse than the S&P 500.)

(9.0, -.1, -1.6, 14.6, 16.0, 7.7, 19.9, 9.8, 3.2, 24.8, 17.6, 10.7, 9.1)

a.Compute the mean for the data set. Interpret its value.

b.Compute the median for the data set. Interpret its value.

Question: Lobster trap placement.The strategic placement of lobster traps is one of the keys to a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results were published in the Bulletin of Marine Science(April 2010). Two variables measured for each of eightteams from the Punta Abreojos (PA) fishing cooperativewere y= total catch of lobsters (in kilograms) during theseason and x= average percentage of traps allocated perday to exploring areas of unknown catch (called search frequency).These data are listed in the next table. Graph

the data in a scatterplot. What type of trend, if any, do you observe?

Total Catch

Search Frequency

2785

35

6535

21

6695

26

4891

29

4937

23

5727

17

7019

21

5735

20

Question: Corporate sustainability of CPA firms.Refer to the Business and Society(March 2011) study on the sustainability

behaviors of CPA corporations, Exercise 2.48 (p. 96). Numerical measures of variation for level of support for the 992 senior managers are shown in the accompanying Minitab printout.

Descriptive Statistics: Support

Variable

N

Mean

StDev.

Variance

Minimum

Maximum

Range

Support

992

67.755

26.871

722.036

0.000

155.000

155.000

a.Locate the range on the printout. Comment on the accuracy of the statement: 鈥淭he difference between the largest and smallest values of level of support for the 992 senior managers is 155 points.鈥�

b.Locate the variance on the printout. Comment on the accuracy of the statement: 鈥淥n average, the level of support for corporate sustainability for the 992 senior managers is 722 points.鈥�

c.Locate the standard deviation on the printout. Does the distribution of support levels for the 992 senior managers have more or less variation than another distribution with a standard deviation of 50? Explain.

d.Which measure of variation best describes the distribution of 992 support levels? Explain.
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