2 Marks of 10 students out of 150 is given below 60, 110, 120, 135,110, 96, 145, 55, 95 & 125 What is the average marks of a class, Calculate by direct & shortcut methods?
2 Marks of 10 students out of 150 is given below
60, 110, 120, 135,110, 96, 145, 55, 95 & 125
What is the average marks of a class, Calculate by direct & shortcut methods?
Solution: the average marks of a class is 105
Calculation by Direct method
= 60 + 110 + 120 + 135 +110 + 96 + 145 + 55 + 95 + 125
10
= 1051/10
= 105.1
Average marks of a class using direct method is 105.1
Calculation by Short cut method
Students | marks | dx = x-a
(a=96) |
1 | 60 | -36 |
2 | 110 | 14 |
3 | 120 | 24 |
4 | 135 | 39 |
5 | 110 | 14 |
6 | 96 | 0 |
7 | 145 | 49 |
8 | 55 | -41 |
9 | 95 | -1 |
10 | 125 | 29 |
∑y=1051 | ∑x=91 |
Mean = a + ∑dx/N
= 96 + 91/10
= 96 + 9.1
= 105.1
Average marks of a class using short cut method is 105.1
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