Q4)Consider the following frequency distribution representing the heights of 36 students of a class. Find the class mark of its modal class . *  305 152.5 157.5 162.5
Answers
Answer:
Class
Frequency
65−85
4
85−105
5
105−25
13
125−145
20
145−165
14
165−185
7
185−205
4
The difference of the upper limit of the median class and the lower limit of the modal class is:
20.
The cumulative frequency table is:
ClassFrequency Cumulative Frequency 65-854 4 85-1055 9 105-125 13 22 125-145 20 42 145-165 14 56 165-1857 63 185-205 4 67Here, 2N=267=33.5
∴ Median class is "125−145."
⇒ Upper limit of median class is 145.
Modal class = class with maximum frequency
Therefore modal class is "125−145."
⇒ Lower limit of modal class is 125.
∴ difference of upper limit of median class and lower limit of modal class = 145−125=20
Given : frequency distribution representing the heights of 36 students of a class.
To Find : class mark of its modal class
Solution:
Height in cm Number of Students
Class interval frequency
150 - 155 1
155 - 160 3
160 - 165 10
165 - 170 8
170 - 175 9
175 - 180 5
Modal class is the class with maximum frequency
Hence modal class is 160 - 165 as it has maximum frequency 10
Class Mark of 160 - 165 will be mid point
= (160 + 165)/2
= 162.5
Hence class mark of its modal class is 162.5
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