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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 MarksFrequencyAIII3BI1CI1Total5

(b) The Frequency Distribution is given below:

ClassFrequencyRelative FrequencyA335=0.6B115=0.2C115=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,A,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 number of tally marks and enter the frequency.

03

Part(b) Step 1: Given Information

The given data set is C,A,A,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,A,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,A,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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Most popular questions from this chapter

This exercise deals with truncated graphs.

a. What is a truncated graph?

b. Give a legitimate motive for truncating the axis of a graph.

c. If you have a legitimate motive for truncating the axis of a graph, how can you correctly obtain that objective without creating the possibility of misinterpretation?

We have drawn a smooth curve that represents a distribution,

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in the document Siarisuics of Income, Individual Income Tax Reforms. The following relative-frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than 50,000.

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a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

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b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

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