ICSE Class 10 Answered
Using step - deviation method, calculate the mean marks of the following distribution.
Class interval
50 - 55
55 - 60
60 - 65
65 - 70
70 - 75
75 - 80
80 - 85
85 - 90
Frequency
5
20
10
10
9
6
12
8
Asked by Topperlearning User | 06 Nov, 2017, 03:23: PM
Expert Answer
|
Class interval |
Frequency (f) |
x |
d = x - A= x -67.5 |
t= |
f × t |
|
50 - 55 |
5 |
52.5 |
-15 |
-3 |
-15 |
|
55 - 60 |
20 |
57.5 |
-10 |
-2 |
-40 |
|
60 - 65 |
10 |
62.5 |
-5 |
-1 |
-10 |
|
65 - 70 |
10 |
67.5 |
0 |
0 |
0 |
|
70 - 75 |
9 |
72.5 |
5 |
1 |
9 |
|
75 - 80 |
6 |
77.5 |
10 |
2 |
12 |
|
80 - 85 |
12 |
82.5 |
15 |
3 |
36 |
|
85 - 90 |
8 |
87.5 |
20 |
4 |
32 |
|
Total |
80 |
24 |
i=5
Assumed mean (A) = 67.5
Thus, the mean of the given data is 69.
Answered by | 06 Nov, 2017, 05:23: PM
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