IF THE MEDIAN OF THE FOLLOWING DISTRIBUTION IS 46 THEN FIND X AND Y?
Asked by Viswanath
| 23rd Sep, 2013,
06:14: PM
Expert Answer:
C.I fi c.f
10-20 12 12
20-30 30 42
30-40 x 42+x
40-50 65 107+x
50-60 y 107+x+y
60-70 25 132+x+y
70-80 18 140+x+y
TOTAL -- 229
=>x+y = 89
median = 46
l = 40
c.f =42+x
f = 65
46 = 40 +(72.5-x)/65 *10
6 *65/10 = 72.5 - x
39 = 72.5- x
x = 33.5
y = 89 - 33.5 = 55.5
C.I fi c.f
10-20 12 12
20-30 30 42
30-40 x 42+x
40-50 65 107+x
50-60 y 107+x+y
60-70 25 132+x+y
70-80 18 140+x+y
TOTAL -- 229
=>x+y = 89
median = 46
l = 40
c.f =42+x
f = 65
46 = 40 +(72.5-x)/65 *10
6 *65/10 = 72.5 - x
39 = 72.5- x
x = 33.5
y = 89 - 33.5 = 55.5
Answered by
| 23rd Sep, 2013,
10:33: PM
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