Question

Find the mode of the following frequency distribution.

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	8	10	10	16	12	6	7

Answer 1

Class	Frequency
0-10	8
10-20	10
20-30	10 →f0
30-40	16 →f1
40-50	12 →f2
50-60	6
60-70	7

ere, 30-40 is the modal class and I = 30, h = 10

∴ Mode = I + `((f_0 - f_1)/(2f_1 - f_0 - f_2)) xx "h"`

= 30 + `((16 - 10)/(2xx16-10-12)) xx 10`

= 30 + `16/10xx10 = 30 + 6 = 36`