Question

Construct a Frequency Table Given a Data List 08 For the data given in the table below, construct a frequency distribution with 6 classes. What is the frequency of the 4th class? Height of eruption (in.) 127 96 110 150 140 110 100 130 110 126 135 116 118 129 128 120 135 130 102 141

Answer 1

Solution:

For the given data, we have

Sample size = n = 20

Minimum = 96

Maximum = 150

Range = Maximum – Minimum = 150 – 96 = 54

Number of classes = 6

Class width = Range / Number of classes = 54/6 = 9

First class: Minimum to Minimum + 9

First class: 96 to 96 + 9 = 105

First class: 96 to 105

Then every class increases by 9

The required frequency distribution is given as below:

Class	Frequency
96 to 105	3
106 to 114	3
115 to 123	3
124 to 132	6
133 to 141	4
142 to 150	1
Total	20

The frequency of the 4^th class is given as 6.