Q. 2.26 - 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.

Primetime Broadcast Shows. From the TV by the Numbers website, we obtained the networks for the top 20 primetime broadcast TV shows by total viewership for the week ending August 18 , 2013 .

Step-by-Step Solution

Answer

Part(a) The frequency distribution is, 

Network	Frequency
ABC	1
CBS	11
FOX	2
NBC	5
Total	20

Part(b) The relative frequency distribution is,

Class	Frequency	Relative Frequency
ABC	1	0.05
CBS	11	0.55
FOX	2	0.10
NBC	5	0.25
Total	20	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 given data represents top 20 primetime broadcast TV shows. These TV shows is obtained by the networks ABC, CBS, FOX, and NBC. 

The frequency distribution is as follows,

Network	Frequency
ABC	1
CBS	11
FOX	2
NBC	5
Total	20

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,

Class	Frequency	Relative Frequency
ABC	1	$\frac{1}{20}=0.05$
CBS	11	$\frac{11}{20}=0.55$
FOX	2	$\frac{2}{20}=0.10$
NBC	5	$\frac{5}{20}=0.25$
Total	20	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,