Q. 2.29 - Elementary Statistics

Question

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.

Step-by-Step Solution

Answer

Part a. The frequency distribution is given as

Class	Tally	Frequency
Fr	||||||	6
So	|||||||||||||||	15
Jr	||||||||||||	12
Sr	|||||||	7

Part b. The relative frequency distribution is given as

Class	Frequency	Relative Frequency
Fr	6	$\frac{6}{40}=0.15$
So	15	$\frac{15}{40}=0.375$
Jr	12	$\frac{12}{40}=0.3$
Sr	7	$\frac{7}{40}=0.175$
Total	40	1

Part c. The pie chart is given as

Part d. The bar chart is given as

Part (a) Step 1. Given Information

We are given the class levels of the students.

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

Class	Tally	Frequency
Fr	||||||	6
So	|||||||||||||||	15
Jr	||||||||||||	12
Sr	|||||||	7

Part (b) Step 1. Relative Frequency Distribution

The relative frequency distribution for the given data is given as

Class	Frequency	Relative Frequency
Fr	6	$\frac{6}{40}=0.15$
So	15	$\frac{15}{40}=0.375$
Jr	12	$\frac{12}{40}=0.3$
Sr	7	$\frac{7}{40}=0.175$
Total	40	1

Part (c) Step 4. Pie chart

The pie chart for the data is shown as

Part (d) Step 1. Bar Chart

The bar chart for the data is shown as