Q. 2.28 - 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.

Colleges of Students. The following table provides data on college for the students in one section of the course Introduction to Computer Science during one semester at Arizona State University. In the table, we use the abbreviations BUS for Business, ENG for Engineering and Applied Sciences, and LIB for Liberal Arts and Sciences.

Step-by-Step Solution

Answer

Part(a) The frequency distribution is, 

Network	Frequency
BUS	9
ENG	12
LIB	4
Total	25

Part(b) The relative frequency distribution is,  

Network	Frequency	Relative Frequency
BUS	9	0.36
ENG	12	0.48
LIB	4	0.16
Total	25	1

Part(c) The pie chart is, 

Part(d) The bar chart is as follows,  

Part(a) Step 1. Given Information.

We are given, 

Part(a) Step 2. Finding the frequency distribution.

The frequency distribution is as follows, 

Network	Frequency
BUS	9
ENG	12
LIB	4
Total	25

Part(b) Step 1. Finding the relative frequency distribution.

The relative frequency distribution is given by,

$\text{ Relative frequency }=\frac{\text{ Frequency }}{\text{ Number of observations }}$

The relative frequency distribution is as follows,

Network	Frequency	Relative Frequency
BUS	9	$\frac{9}{25}=0.36$
ENG	12	$\frac{12}{25}=0.48$
LIB	4	$\frac{4}{25}=0.16$
Total	25	1

Part(c) Step 1. Drawing the Pie chart.

The pie chart is as follows, 

Part(d) Step 1. Drawing the bar chart.

The bar chart is as follows,