Question

Find the mode of the following frequency distribution:

Classes:	0–20	20–40	40–60	60–80	80–100
Frequencies:	8	7	12	5	3

Answer 1

The modal class is 40 – 60, since its frequency is the highest.

Here, l = 40, f = 12, f₁ = 7, f₂ = 5 and h = 20. 

\[\text{Mode}=l+\frac{f-f_1}{2f-f_1-f_2}\times h\] 

\[\text{Mode}=40+\frac{12-7}{2(12)-7-5}\times20=40+\frac{5}{12}\times20\approx48.33\]

Mode = 48.33.