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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?

December 02, 2017 By: Meliza Category: 1st SEM

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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