find the arithmetic mean of the following data using step deviation method 40,50,35,60
Answers
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
)
Mean=28Marks
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
0 040-50
45 1010 1 10 50-60 55 5 202
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
)
Mean=28
Answer:
46.25
Step-by-step explanation:
mean = sum of numbers/ number of numbers
= 40+50+35+60/4
=185/4
= 46.25