Calculate the mean deviation from mean of the following distribution :

8.14

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9

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9.44

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9.97

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Solution

The correct option is C $9.44$
Marka $(I)$
No.of students $(f i)$
$x_{i}$
$f_{i} x_{i}$
$| x_{i} - ¯ x |$
$f_{i} | x_{i} - ¯ x |$
0-10
10-20
20-30
30-40
40-50

5
8
15
16
6

5
15
25
35
45
25
120
375
560
270
22
12
2
8
18
110
96
30
128
108
$¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1350}{50} = 27$
Mean Description $= \frac{\sum f_{i} | x_{i} - ¯ x |}{N} = \frac{\sum f_{i} | x_{i} - ¯ x |}{\sum f_{i}} = \frac{472}{50} = 9.44$

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Calculate the mean deviation from mean of the following distribution :

The correct option is C 9.44Marka (I)No.of students (fi)xifixi|xi−¯x|fi|xi−¯x|0-1010-2020-3030-4040-50581516651525354525120375560270221228181109630128108¯x=∑fixi∑fi=135050=27Mean Description =∑fi|xi−¯x|N=∑fi|xi−¯x|∑fi=47250=9.44