Question

19. Find the mode from the following data-
Class Interval 0-9 10-19 20-29 30-39 40-49 50-59
8 6
Frequency
5 8
12.
11
8
6​

Answer 1

Solution :-

Class frequency

0.5 - 9.5 5

9.5 - 19.5 8

19.5 - 29.5 12

29.5 - 39.5 11

39.5 - 49.5 8

49.5 - 59.5 6

we have,

• Modal class = class with highest frequency = 19.5 - 29.5 .
• L = Lower limit of modal class = 19.5 .
• h = size of class interval = 10 .
• f1 = frequency of modal class = 12 .
• f0 = frequency of class preceding modal class = 8 .
• f2 = frequency of class succeeding modal class = 11 .

we know that,

• Mode = L + [(f1 - f0) / (2f1 - f0 - f2)] * h .

putting all values we get,

→ Mode = 19.5 + [(12 - 8) / (2*12 - 8 - 11)] * 10

→ Mode = 19.5 + (4/5) * 10

→ Mode = 19.5 + 8

→ Mode = 27.5 (Ans.)

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