Class Levels. Earlier in this section, we considered the political party affiliations of the students in Professor Weiss's introductory statistics course. The class levels of those students are as follows, where Fr, So, Jr, and Sr denote freshman, sophomore, junior, and senior, respectively.

Short Answer

Expert verified

a). The frequency distribution is,


b). The relative frequency is

ClassFrequencyRelative FrequencyFr6640=0.15So151540=0.375Jr121240=0.3Sr7740=0.175Total401

c). The pie chart,


d). The bar chart,

Step by step solution

01

Part (a) Step 1: Given Information

Given data:

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.

The table below shows the frequency distribution:

03

Part (b) Step 1: Given Information

Given data:

04

Part (b) Step 2: Explanation

The relative frequency is expressed as follows:

Relative Frequency=FrequencyNumberofObservations

The frequency distribution is presented in the table below.

ClassFrequencyRelative FrequencyFr6640=0.15So151540=0.375Jr121240=0.3Sr7740=0.175Total401

05

Part (c) Step 1: Given Information

Given data:

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 360oby 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.
  • Select your CLASS LEVELS.
  • Go to the Labels tab.
  • Navigate to the Slide Labels tab.
  • Under Label pie pieces, check Category name and Percent.
  • Click OK

The pie chart of the data set:

07

Part (d) Step 1: Given Information

Given data:

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 to represent the menu. Click OK after selecting Simple.
  • Add one column of CLASS LIMITS to Categorical variables.
  • Select your chart options
  • Click the Show Yas Percent option.
  • Click OK

The figure shows the bar chart for the supplied data set.

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Most popular questions from this chapter

Explain the meaning of

a) Qualitative Variable

b) Discrete, Quantitative Variable

c) Continuous, Quantitative Variable

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

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between\)10,000and \(19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than \)30,000?

c. The IRS reported that \(89,928,000individual income tax returns had an adjusted gross income of less than \)50,000. Approximately how many had an adjusted gross income between \(30,000and \)49,999, inclusive?

Explain the meaning of

Qualitative Variable

Discrete, Quantitative Variable

Continuous, Quantitative Variable

Distribution of a data set.

High School Completion. As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who has completed high school 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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