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Business marketing publications.Business-to-business marketing describes the field of marketing between multiple business entities. The Journal of Business-to-Business Marketing (Vol. 15, 2008) produced a pie chart describing the number of business-to-business marketing articles published in all journals, by topical area, between 1971 and 2006. The data used to produce the pie chart are shown in the table.

Area

Number

Global Marketing

Sales Management

Buyer Behavior

Relationships

Innovation

Marketing Strategy

Channels/Distribution

Marketing Research

Services

235

494

478

498

398

280

213

131

136

Total

2,863

a.Compute the relative frequencies for the nine topical areas shown in the table. Interpret the relative frequency for Buyer Behavior.

b.Use the relative frequencies, part a, to construct a pie chart for the data. Why is the slice for Marketing Research smaller than the slice for Sales Management?

Short Answer

Expert verified

a)

b)

Step by step solution

01

 Step 1: Computing the relative frequency and interpreting it

RelativeFrequency=FrequencyTotalFrequency

Relative Frequency tells us the frequency with which a particular area is repeated or is noted in the observations.

The relative Frequency for Buyer Behavior is 0.16. It means that 16% of them were on Buyer Behavior out of the total number of articles. Out of 100 articles, 16 would be on Buyer Behavior.

02

Constructing a pie chart and comparing Marketing Research and Sales Management

To construct a pie chart, we will need the angles. So we will use the following formula to find them: Angle=Relativefrequency×360o

The pie diagram will be as follows:

Slice of Marketing Research is smaller than Sales Management because the proportion of marketing research articles is less than the proportion of Sales management.

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Most popular questions from this chapter

Lead in drinking water. The U.S. Environmental Protection Agency (EPA) sets a limit on the amount of lead permitted in drinking water. The EPA Action Level for lead is .015 milligram per liter (mg/L) of water. Under EPA guidelines, if 90% of a water system’s study samples have a lead concentration less than .015 mg/L, the water is considered safe for drinking. I (coauthor Sincich) received a recent report on a study of lead levels in the drinking water of homes in my subdivision. The 90th percentile of the study sample had a lead concentration of .00372 mg/L. Are water customers in my subdivision at risk of drinking water with unhealthy lead levels? Explain.

Parents Against Watching Television.A society called Parents Against Watching Television (PAWT) is primarily concerned with the amount of television viewed by today’s youth. It asked 300 parents of elementary school aged children to estimate the number of hours their child spent watching television in any given week. The mean and the standard deviation for their responses were 17 and 3, respectively. PAWT then constructed a stem-and-leaf display for the data, which showed that the distribution of the number of hours was a symmetric, mound-shaped distribution. Identify the interval where you believe approximately 95% of the television viewing times fell in the distribution.

Complete the following table on customer statistics.

Age of customer

Frequency

Relative Frequency

15 or younger

36

-

16 to 25

96

-

25 to 35

48

-

36 to 50

-

0.2

Older than 50

12

-

Total

240

1.00

Calculate the variance and standard deviation for samples where

a.n= 10, ∑x2 = 84, ∑x= 20

b.n= 40, ∑x2 = 380, ∑x= 100

c.n= 20, ∑x2 = 18, ∑x= 17.

In terms of percentiles, define QL, QM and QU

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