Question

Find the mode of the following distribution.

Class interval	25-30	30-35	35-40	40-45	45-50	50-55
Frequency	25	34	50	42	38	14

Answer 1

Class interval	25-30	30-35	35-40	40-45	45-50	50-55
Frequency	25	34	50	42	38	14

It’s seen that the maximum frequency is 50.

So, the corresponding class i.e., 35 – 40 is the modal class.

And,

l = 35, h = 40 – 35 = 5, f = 50, f₁ = 34, f₂ = 42

Using the formula for finding mode, we get

= 35 + \(\frac{80}{24}\)

= 35 + 3.33

= 38.33