Question

22. Find the average height of maximum number of students from the following distribution: Height(in cm) 160-162 163-165 166-168 169-171 172-174 No. of students 15 118 142 127 18

Answer 1

Answer:167.35

Step-by-step explanation:

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 = l + f - f₁/ 2f  -  f₁ - f₂ × h

          = 165.5 + 142 - 118/ 2 × 142 - 118 - 127 ×3

         = 165.5 + 72 / 39

         = 165.5 1.85

          = 167.35 cm