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we have presented some simple qualitative data sets for practicing the concepts. For each data set.

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. construct a bar chart.

Short Answer

Expert verified

(a) The Frequency Distribution is given below:

ClassTally MarksFrequencyAII2BII2CI1Total5

(b) The Frequency Distribution is given below:

ClassFrequencyRelative FrequencyA225=0.4B225=0.4C115=0.2Total51

(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

The given data set is C,A,B,B,A.

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 value in the data set appears in the second column.

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

03

Part(b) Step 1: Given Information

The given data set is C,A,B,B,A.

04

Part(b) Step 2: Explanation

The relative frequency is calculated as follows:

Relative Frequency=FrequencyNumber of Observations

05

Part(c) Step 1: Given Information

The given data set is C,A,B,B,A.

06

Part(c) Step 2: Explanation

MINITAB has been used to create the pie chart.

The portion for each class in a pie chart is calculated by multiplying 360°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

The given data set is C,A,B,B,A.

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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