Question

The heights (in cm) of 30 students of class IX are given below:
155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153
Prepare a frequency distribution table with 160-164 as one of the class intervals.

Answer 1

The frequency distribution table with 160-164 as one of the class intervals is shown below.

Given,

The class size = 164 - 160 = 4

From given we have,

The maximum value of the height of the students = 163.

The minimum value of the height of the students = 147

The range = 163 - 147 = 16

The lower limit of the first class interval

a - h/2 = 147 - 4/2 = 145

The upper limit of the first class interval

a + h/2 = 147 + 4/2 = 149

Therefore, the frequency distribution in which the upper limit is excluded and the lower limit is included is

Height                           Frequency

144 - 148                             1

148 - 152                             5

152 - 156                             10

156 - 160                             9

160 - 164                             5

Total                                 30