consider the following frequency distribution of the height of 60 students of a class:
Height no of students
150-155 15
155-160 13
160-165 10
165-170 8
170-175 9
175-180 5
The sum of the lower limit of the modal class and the upper limit of the median class is :
A ) 310
B ) 315
C ) 320
D ) 330
Answers
Modal class = 150-155
So, lower limit of modal class is 150.
Now,
Height No. of Cumulative
students Frequency
150-155 15 15
155-160 13 28
160-165 10 38
165-170 8 46
170-175 9 55
175-180 5 60
Total (n) = 60
n/2 = 30
Median class = 160-165
So, upper limit of median class = 165
Sum of the lower limit of the modal class and upper limit of the median class = 150 + 165
= 315
Answer is (B) 315
Given : frequency distribution of the heights of 60 students of a class
Height 150-155 155-160 160-165 165-170 170-175 175-180
No of students 15 13 10 8 9 5
To Find : The sum of the lower limit of the modal class and the upper limit of the median class is :
A ) 310
B ) 315
C ) 320
D ) 330
Solution:
Height(in cm) number of students CF
150-155 15 15
155-160 13 28
160-165 10 38
165-170 8 46
170-175 9 55
175-180 5 60
Total Frequency = 60
60/2 = 30
which lies between 160-165
Median class is 160-165
upper limit of the median class in the given data is 165
Max frequency 15 in class 150-155
Hence Modal class is 150-155
lower limit of the modal class = 150
The sum of the lower limit of the modal class and the upper limit of the median class is : 150 + 165 = 315
B ) 315 is correct answer
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