If the mean of the following frequency distribution is 25, find the value of x and y. CLASS : 18-20 20-22 22-24 24-26 26-28 28-30 30-32 TOTAL FREQUENCY : 13 15 x 18 16 y 13 106
Answers
Given : mean of the following frequency distribution is 25,
CLASS : 18-20 20-22 22-24 24-26 26-28 28-30 30-32
FREQUENCY : 13 15 x 18 16 y 13 106
To Find : Value of x and y
Solution:
CLASS : Mean class A= (mean class - 25)/2 f AF
18-20 19 -3 13 -39
20-22 21 -2 15 -30
22-24 23 -1 x -x
24-26 25 0 18 0
26-28 27 1 16 16
28-30 29 2 y 2y
30-32 31 3 13 39
75+x + y 2y -x - 14
Assumed mean and mean are same
Hence 2y -x - 14 = 0
=> 2y - x = 14
75+x + y = 106
=>> x + y = 31
=> 3y = 45
=> y = 15
x = 16
value of x and y.
x = 16
y = 15
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