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Question

Find the mean using step deviation method.
453153.png


A
14
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B
13
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C
12
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D
10
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Solution

The correct option is D $$10$$

x

Mid-point

(frequency)

$${ d }_{ i }={ x }_{ i }-6$$

 $${ u }_{ i }=\cfrac { { x }_{ i }-6 }{ 4 } $$

$${ f }_{ i }{ u }_{ i }$$ 

0-4

2

1

-4

-1

-1

4-8

6 (a)

2

0

0

0

8-12

10

3

4

1

3

12-16

14

4

8

2

8

 

 

10

 

 

$$\sum { { f }_{ i }{ u }_{ i } } =10$$=10

Mean $$=a+\cfrac { \sum { { f }_{ i }u_{ i } }  }{ \sum { { f }_{ i } }  } \times h\\ =6+\cfrac { 10 }{ 10 } \times 4\\ =10\quad Ans$$

Mathematics

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