following is the marks of 8 students. find out arithmetic mean by shortcut method and step deviation method 30,45,60,45,15,65,85,20
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Answer:
Marks
Midpoint(x
i
)
No. of students(f
i
)
Deviation(d
i
)
u
i
u
i
f
i
0-10
5
8
-30
-3
-24
10-20
15
15
-20
-2
-30
20-30
25
22
-10
-1
-22
30-40
35
20
0
0
0
40-50
45
10
10
1
10
50-60
55
5
20
2
10
N=∑f
i
=80, h=10
A=35,d
i
=x
i
−A , u
i
=
h
d
i
Mean=A+h(
N
∑u
i
f
i
)
=35+10(
80
−56
)
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Answer:
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