The following is the distribution of height of students of 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.
Height(exclusive) | 10-162 | 163-165 | 166-168 | 169-171 | 172-174 |
Height(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, the corresponding class interval 165.5-168.5 is modal class
l=165.5, h=3, f=142, f1=118, f2 =127
Mode = l +
= 165.5 +
=18+ =165.5 +1.85
=167.35 cm