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Chapter 2: Q. 2.27 (page 50)

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. construct a bar chart.

From NCAA.com-the official Web site for NCAA sports-we obtained the National Collegiate Athletic Association wrestling champions for the years 1989-2013in the document "Championship History." They are displayed in the following table.

Short Answer

Expert verified

(a) The Frequency Distribution is given below:

ClassTally MarksFrequencyOklahoma St.IIIIIII7IowaIIIIIIIIIIII12MinnesotaIII3Penn StateIII3Total25

(b) The Frequency Distribution is given below:

ClassFrequencyRelative FrequencyOklahoma St.7725=0.28Iowa121225=0.48Minnesota3325=0.12Penn State3325=0.12Total251

(c) The pie chart is given below :

(d) The Bar Graph is given below:

Step by step solution

01

Part(a) Step 1: Given Information

02

Part(a) Step 2: Explanation

The following is the process for determining the frequency distribution of qualitative data:

- List the various values in the first column.

- Use tally marks to represent the number of times each data set value appears in the second column.

- In the third column, count the number of tally marks and enter the frequency.

03

Part(b) Step 1: Given Information

04

Part(b) Step 2: Explanation

The expression for the relative frequency is given by,

Relative Frequency=FrequencyNumber of Observations
05

Part(c) Step 1: Given Information

06

Part(c) Step 2: Explanation

The portion for each class in a pie chart is calculated by multiplying 360掳by the appropriate relative frequencies.

The steps of drawing a pie chart are as follows:

- Navigate to Graph > Pie Chart.

- Choose the chart that counts unique data.

- Pick your data.

- Go to the Labels tab.

- Navigate to the Slide Labels tab.

- Under Label pie pieces, check Category name and Percent.

- Click OK

07

Part(d) Step 1: Given Information

08

Part(d) Step 2: Explanation

MINITAB has been used to create the bar chart.

The steps to making a bar chart are as follows:

- Navigate to Graph > Bar Chart.

- Select Counts of unique values from the Bars represent menu.

- Click OK after selecting Simple.

- Enter one column of DATA in Categorical variables.

- Select your chart options

- Click the Show Y as Percent option.

- Click OK

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