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given.... sum f=N=120
summation X = 50. let A=50
class. f. Xi. di=Xi-A fidi
0-20. 17. 10. -40 -680
20-40. x. 30. -20. -20x
40-60. 32. 50. 00. 00
60-80. y. 70. 20. 20y
80-100. 19. 90. 40 760
sumf=N=68+x+y sumfidi=80-20x+20y
we have
N =120
68+x+y=120
x+y=120-68
x+y=52.... ...................i
we have
sum x(mean)=A+ sumfidi/sumfi
50=50+ 80-20x+20y/120
50-50=20(4-x+y)/120
0. =4-x+y/10
4-x+y=0x10
4-x+y=0
-x+y=-4
-(x-y) =-4
x-y=4
x=4+y. ..... ii
now from i and ii
4+y+y=52
4+2y=52
2y=52-4
2y=48
y=48/2
y=24... .iii
now from ii and iii
x=y+4
x=4+24
x=28
.. ..hope this helps you......
summation X = 50. let A=50
class. f. Xi. di=Xi-A fidi
0-20. 17. 10. -40 -680
20-40. x. 30. -20. -20x
40-60. 32. 50. 00. 00
60-80. y. 70. 20. 20y
80-100. 19. 90. 40 760
sumf=N=68+x+y sumfidi=80-20x+20y
we have
N =120
68+x+y=120
x+y=120-68
x+y=52.... ...................i
we have
sum x(mean)=A+ sumfidi/sumfi
50=50+ 80-20x+20y/120
50-50=20(4-x+y)/120
0. =4-x+y/10
4-x+y=0x10
4-x+y=0
-x+y=-4
-(x-y) =-4
x-y=4
x=4+y. ..... ii
now from i and ii
4+y+y=52
4+2y=52
2y=52-4
2y=48
y=48/2
y=24... .iii
now from ii and iii
x=y+4
x=4+24
x=28
.. ..hope this helps you......
Mehak191:
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