The following is the distribution of height of students

The following is the distribution of height of students
|

The following is the distribution of height of students of a certain class in a certain city:
Height (in cms): 160-162   163-165   166-168   169-171   172-174
No. of students:   15             118          142        127        18
Find the average height of maximum number of students.

Please scroll down to see the correct answer and solution guide.

Right Answer is:

SOLUTION

Heights(exclusive) 160-162 163-165 166-168 169-171 172-174
Heights (inclusive) 159.5-162.5 162.5-165.5 165.5-168.5 168.5-171.5 171.5-174.5
No of students 15 118 142 127 18

Here the maximum frequency is 142, then the corresponding class 165.5 – 168.5 is the modal class

l = 165.5, h = 168.5 – 165.5 = 3, f = 142, , f1=118, f2=127
Mode space equals space straight l plus fraction numerator straight f � straight f 1 over denominator 2 straight f � straight f 1 minus straight f 2 end fraction cross times straight h space space space space space space space space space space space space equals space 165.5 plus fraction numerator 142 � 118 over denominator 2 cross times 142 � 118 � 127 end fraction cross times 3 space space space space space space space space space space space space equals space 165.5 space plus space 72 over 39 space space space space space space space space space space space space equals space 165.5 space plus space 1.85 space space space space space space space space space space space space space space equals space 167.35 space cm

Related Questions