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Question -

The number oftelephone calls received at an exchange in 245 successive on2-minute intervalsis shown in the following frequency distribution:

Number of calls

0

1

2

3

4

5

6

7

Frequency

14

21

25

43

51

40

39

12

Compute the meandeviation about the median.



Answer -

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

We know, Median is the even term, (3+5)/2 = 4

So, Median = 8

Let xi┬а=Number of calls

And, fi┬а= Frequency

xi

fi

Cumulative Frequency

|di| = |xi┬атАУ M|

= |xi┬атАУ 61|

fi┬а|di|

0

14

14

4

56

1

21

35

3

63

2

25

60

2

50

3

43

103

1

43

4

51

154

0

0

5

40

194

1

40

6

39

233

2

78

7

12

245

3

36

Total = 366

Total = 245

N = 245

MD=

= 1/245 ├Ч 336

= 1.49

тИ┤ Themean deviation is 1.49.

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