If median is equal to 46 and total number is equal to 230 find f1 and f2
Variable Frequency
10-20 12
20-30 30
30-40 f1
40-50 65
50-60 f2
60-70 25
70-80 18
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150 + x + Y = 229
x + Y = 79
Median (M) = 46
Total frequency = 229
f = 65
cf = 42 + x
L = 40
C = 10
n/2 = 229/2
Median(M) = l + (n/2 - cf)/f × C
46 = 40 + (229/2 - 42 - x ) 65× 10
(46-40) × 65 = (229 - 84 - 2x)/2 × 10
390/10 =( 145 -2x)/2
39 × 2 = 145 - 2x
78 - 145 = -2x
-67 = -2x
x = 33.5
put value of x in eq (1).
33.5 + Y = 79
Y =45.5
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