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Question -

Compute the meandeviation from the median of the following distribution:

Class

0-10

10-20

20-30

30-40

40-50

Frequency

5

10

20

5

10



Answer -

To find the mean deviation from the median, firstly let uscalculate the median.

Median is the middle term of the Xi,

Here, the middle term is 25

So, Median = 25

Class Interval

xi

fi

Cumulative Frequency

|di| = |xi – M|

fi |di|

0-10

5

5

5

20

100

10-20

15

10

15

10

100

20-30

25

20

35

0

0

30-40

35

5

91

10

50

40-50

45

10

101

20

200

Total = 50

Total = 450

MD=

= 1/50 × 450

= 9

Themean deviation is 9

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