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Question -

Calculate the meandeviation about the median of the following frequency distribution:

xi

5

7

9

11

13

15

17

fi

2

4

6

8

10

12

8



Answer -

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

We know, N = 50

Median = (50)/2 = 25

So, the median Corresponding to 25 is 13

xi

fi

Cumulative Frequency

|di| = |xi┬атАУ M|

= |xi┬атАУ 61|

fi┬а|di|

5

2

2

8

16

7

4

6

6

24

9

6

12

4

24

11

8

20

2

16

13

10

30

0

0

15

12

42

2

24

17

8

50

4

32

Total = 50

Total = 136

N = 50

MD=

= 1/50 ├Ч 136

= 2.72

тИ┤ Themean deviation is 2.72.

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