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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Most popular questions from this chapter

Bachelor"s Completion. As reported by the U.S. Census bureau in the document Edwrational Arraignment in the United States, the percentage of adults in each state and the District of Columbia who has completed a bachelor's degree is provided on the WeissStats site.

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

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For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, and cut point grouping. For each type of data given, decide which of these three grouping types is usually best, Explain your answers.

a. Continuous data displayed to one or more decimal places

b. Discrete data in which there are relatively few distinct observations

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In this case, decide which type of grouping (single-value, limit or cutpoint is probably the best.

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