Find out mode from the following data:

Class-Interval 0−5 5−10 10−15 15−20 20−25 25−30 30−35 35−40

Frequency 5 7 15 18 16 9 6 3

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Solution

Class Interval Frequency (f)

0 − 5
5 − 10
10 − 15 5
7
15

f₀

15 − 20 18 f₁

20 − 25
25 − 30
30 − 35
35 − 40 16
9
6
3 f₂

By inspection, we can say that the modal class is (15 – 20) as it has the highest frequency of 18.
$Mode (Z) = l_{1} + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times i or, Z = 15 + \frac{18 - 15}{2 (18) - 15 - 16} \times 5 or, Z = 15 + \frac{3}{36 - 31} \times 5 or, Z = 15 + 3 = 18 Hence, mode (Z) is 18 .$

Suggest Corrections

Class interval	1-5	6-10	11-15	16-20	21-25	26-30	31-35	36-40	41-45	46-50
Frequency	3	8	13	18	28	20	13	8	6	4

Class-Interval	0−5	5−10	10−15	15−20	20−25	25−30	30−35	35−40
Frequency	5	7	15	18	16	9	6	3

Class Interval	5−10	10−15	15−20	20−25	25−30	30−35	35−40
Number of Children	4	5	3	2	6	7	3

Size	0−4	4−6	6−10	10−15	15−20	20−30	30−35	35−40
Frequency	2	4	3	5	2	20	6	8

Items	0−5	5−10	10−15	15−20	20−25	25−30	30−35	35−40
Frequency	2	5	7	13	21	16	8	3