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Chapter 2: Q. 2.29 (page 50)

For each data sets in Exercises 2.26-2.31,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. Construct a bar chart.

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

Part a. The frequency distribution is given as

ClassTallyFrequency
Fr||||||6
So|||||||||||||||
15
Jr||||||||||||
12
Sr|||||||
7

Part b. The relative frequency distribution is given as

ClassFrequencyRelative Frequency
Fr6640=0.15
So151540=0.375
Jr121240=0.3
Sr7740=0.175
Total401

Part c. The pie chart is given as

Part d. The bar chart is given as

Step by step solution

01

Part (a) Step 1. Given Information 

We are given the class levels of the students.

02

Part (a) Step 2. Frequency Distribution

For the given data we have four classes Fr which denotes Freshman, So denoting Sophomore, Jr denoting Junior, and Sr denoting the Senior. So the frequency distribution is given as

ClassTallyFrequency
Fr||||||6
So|||||||||||||||15
Jr||||||||||||12
Sr|||||||
7
03

Part (b) Step 1. Relative Frequency Distribution 

The relative frequency distribution for the given data is given as

ClassFrequencyRelative Frequency
Fr6640=0.15
So151540=0.375
Jr121240=0.3
Sr7740=0.175
Total401
04

Part (c) Step 4. Pie chart

The pie chart for the data is shown as

05

Part (d) Step 1. Bar Chart

The bar chart for the data is shown as

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Most popular questions from this chapter

What is the relationship between a frequency or relative frequency distribution of a quantitative data set and that of a qualitative data set?

Recording Industry Statistics. The Recording Industry Association of America (RIAA) reports annual statistics on shipments and revenues. For the year 2012, RIAA reported the following data on physical shipments. [SOURCE: Year.End industry Shipment and Revenue Statistics. Published by RIAA, (c) 2012.]

Identify the type of data provided by the information in each of the following columns of the table:

a. first b. second c. third

Forearm Length. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we present on the Weiss Stats 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.

Weights of 18- to 24-Year-Old Males. Refer to the weight data in Table 2.8on page 54 . Note that there are 37 observations, the smallest and largest of which are 129.2and278.8, respectively. Apply the preceding procedure to choose classes for cut point grouping. Use approximately eight classes. Note: If in Step 2 you decide on 20 for the class width and in Step 3 you choose 120 for the lower cut point of the first class, then you will get the same classes as used in Example 2.14; otherwise, you will get different classes (which is fine).

A quantitative data set has been grouped by using limit grouping with equal-width classes. The lower and upper limits of the first class are 3and 8, respectively, and the class width is 6.

a. What is the class mark of the second class?

b. What are the lower and upper limits of the third class?

c. Which class would contain an observation of 23?
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