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

Question

The following is the distribution of height of students of certain class in a certain city:

Find the average height of maximum number of students.

Answer 1

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 + \(\frac{f-f_1}{2f-f_1-f_2}\times h\)

\(=165.5+\frac{142-118}{2\times142-118-127}\times3\)

\(=18+\frac{72}{39}=165.5+1.85\)

=167.35 cm