Question

Calculate the mean deviation about median age for the age distribution of persons given below :
AgeNumber
16-205
21-256
26-3012
31-3514
36-4026
41-4512
46-5016
51-559

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Updated on : 2022-09-05
Solution
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Clearly, we can see that given data is not continuous. So, to convert into continuous frequency distribution, we need to subtract from the lower limit and add to the upper limit of each class interval
 Class  Cumulative frequency   
 15.5-20.5 5 5 18 20 100
 20.5-25.5 6 11 23 15 90
 25.5-30.5 12 23 28 10 120
 30.5-35.5 14 37 33 5 70
 35.5-40.5 26 63 38 0 0
 40.5-45.5 12 75 43 5 60
 45.5-50.5 16 91 48 10 160
 50.5-55.5 9 100 53 15135
 Total  100    735
Here,
which occurs in the cumulative frequency .
Hence, the median class is .
Median

Mean deviation about the median is

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Mathematics
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Exercise 15.1
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