Question 31 The median of the following data is 16. Find the missing frequencies a and b, if the total of the frequencies is 70.Given
ββππ = 70
Finding
Cummulative Freq.
Since
Median = 16
15 β 20 is median class
Median = l + (π/2 βππ)/π Γ h
Where
l = lower limit of median class
h = class-interval
n = ββππ
cf = cumulative freq.of class before median class
f = frequency of the median class
Now,
Median = l + (π/π βππ)/π Γ h
16 = 15 + (70/2 β (24 + π))/15 Γ 5
16 β 15 = (35 β 24 β π)/3
1 = (11 β π)/3
3 = 11 β a
a = 11 β 3
a = 8
Also,
ββππ = 55 + a + b
70 = 55 + a + b
Putting a = 8
70 = 55 + 8 + b
70 = 63 + b
70 β 63 = b
b = 7
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
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