Q12. The mode of the following distribution is 42. Find the missing frequency x.
10 - 20
20-30
30-40
40-50
50-60
Class
Interval
Frequency
60-70
12.
20
X
26
6
7
Answers
Given : The mode of the following distribution is 42
To Find : Missing frequency
Solution:
Class Interval Frequency
10 - 20 12
20-30 20
30-40 X
40-50 26
50-60 6
60-70 7
mode of the following distribution is 42
Hence mode lies between = 40 - 50
Mode = 40 + 10 * ( 26 - X) / ( 26 - X + 26 - 6)
=> 42 = 40 + 10 * (26 - X) / ( 46 - X)
=> 2 = 10 * (26 - X) / ( 46 - X)
=> 1 = 5 * (26 - X) / ( 46 - X)
=> 46 - X = 130 - 5X
=> 4X = 84
=> X = 21
Missing frequency of distribution is 21
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