Question

Find the mode of the following frequency distribution:

Class	Frequency
15 – 20	3
20 – 25	8
25 – 30	9
30 – 35	10
35 – 40	3
40 – 45	2

Answer 1

Here, modal class = 30 – 35

∴ l = 30, f₀ = 9, f₁ = 10, f₂ = 3 and h = 5

Mode = `l + ((f_1 - f_0)/(2f_1 - f_0 - f_2)) xx h`

= `30 + ((10 - 9)/(2 xx 10 - 9 - 3)) xx 5`

= `30 + 5/8 = 30 + 0.625`

= 30.625