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Question

The median of the data in the following table is 27. Find the missing frequencies f1 and f2
1346289_e6a8d522f7dd4fc69e0201f18228d707.png

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Solution

Class*frequency (Cf)

5
5+f1
25+f1
39+f1
39+f1+f2
47+f1+f2

47+f1+f2=68f1+f2=21...(1)

m=L+(n2Cff)×h

27=20+(34(5+f1)20)×10

7=(34(5+f1)2)

7=17(5+f12)

5+f12=177=10

5+f1=20

f1=15

From (1)

f2=21f1=2115

f2=6

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