Question

2. The following table gives the heights (in cm)
of a group of 55 students in a class.
Height
140-142 142-144 144-146 146-148148-150 150-152 152-154 154-156
(incm
No. of
4 6 9 12 9
Students
7
Compute the modal height of the class and
interpret the result​

Answer 1

Given :  heights (in cm)  of a group of 55 students in a class.

To Find : modal height of the class

Solution:

Height        No of students

140-142              4

142-144              6

144-146              9

146-148              12

148-150              9

150-152              7

152-154             3

154-156             5

Modal class is the class with maximum frequency

Maximum frequency = 12

12 lies in 146 - 148

Modal class in 146 - 148 cm

Most of the students height lies between 146 & 148 cm

Mode = 146  + 2 * (12 - 9)/(12 - 9  + 12 - 9)

= 146  + 2 * 3/6

= 146 + 1

= 147

Modal height = 147 cm

Hence maximum number of students have height 147 cm

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