find the mean for the following distribution table
1) class : 100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500
frequency : 24 40 33 28 30 22 16 7
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Answer:
Class interval
x1
d1
u1
f1
f1u1
100-150
125
-150
-3
24
-12
150-200
175
-100
-2
40
-80
200-250
225
-50
-1
33
-33
250-300
275
0
0
28
0
300-350
325
50
1
30
30
350-400
375
100
2
22
44
400-450
425
150
3
16
48
450-500
475
200
4
7
28
d
1
=x
1
−275
u
1
=
50
x
1
−275
Let the assumed mean be,
A=275
h=50
mean=A+h×
N
∑f
1
u
1
=275+50×
200
−35
=266.25
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