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Question -

An incomplete distribution is given below :
 
You are given that the median value is 46 and the total number of items is 230.
(i) Using the median formula fill up missing frequencies.
(ii) Calculate the AM of the completed distribution.



Answer -

Let p1, and p2 be the missing frequencies
Median = 46 and N = 230

150 +p1 + p2 = 230

p1+p2 =230 – 150 = 80
p2 = 80-p1 ….(i)
Median = 46 which lies inthe class 40-50
I = 40, f= 65, F = 42 +p1,h = 10

39 = 73 – p1
p1 = 73-39 = 34
p2 – 80 –p1 = 80 – 34 = 46
Hence missing frequencies are 34, and 46
Mean Let assumed mean (A) = 45
= 45 + 0.8695
= 45 + 0.87
= 45.87

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