Find the mean using step deviation method.

14

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13

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12

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10

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Solution

The correct option is D $10$

x

Mid-point

(frequency)

$d_{i} = x_{i} - 6$

$u_{i} = \frac{x_{i} - 6}{4}$

$f_{i} u_{i}$

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 $= a + \frac{\sum f_{i} u_{i}}{\sum f_{i}} \times h = 6 + \frac{10}{10} \times 4 = 10 A n s$

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