Question

Find the mode of the distribution from the following data Class 10-15 15-20 20-25 25-30 30-35 35-40 40-45 and Frequency is 3 2 10 7 20 5 8 respectively

Answer 1

modal class is 30 - 35
mode = l+ (f1 - f0 / 2f1 - f0 - f2) *h
l = 30
f1 = 20
f0 = 7
f2 = 5
h = 5
mode = 30 + (20 - 7 / 2*20 - 7 - 5)*5
          = 30 + (13 / 40 - 12)*5
          = 30 + (13 / 28)*5
          = 30 + (0.464)*5
          = 30 + 2.32
          = 32.32
completed 
hope so the answer is helpful to u 

Answer 2

Mean of the given data is 30-35(since it is repeated maximum number of times)