draw a less than ogive from the following data and hence find out the value of median: age 0-10 10-2020-30 30-40 40-5050-60 60-70 70-80 number 10 15 22 16 14 12 6 5

cc,

To construct a less than ogive, ​we first need to convert the series into a less than cumulative frequency distribution.
 
Age Number(f) Cumulative frequency(c.f)
Less than 10 10 10
Less than 20 15 25
Less than 30 22 47
Less than 40 16 63
Less than 50 14 77
Less than 60 12 89
Less than 70 6 95
Less than 80 5 100

Median class is given by the size of the N2th item, i.e. the 1002thitem, which is the 50th item.
This corresponds to the class interval 30−40, so this is the median class.

Median(M) =l1 +  N2 - cff × i=30 + 1002 - 4716 × 10=30 +  3016M = 31.88

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