in a street,data was collected on the size of 40 families and it is given below:
family size:0-4,4-8,8-12,12-16,16-20
number of families:8,14,12,4,2
find median and mode.

Question

in a street,data was collected on the size of 40 families and it is
given below:
family size:0-4,4-8,8-12,12-16,16-20
number of families:8,14,12,4,2
find median and mode

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Here N2=402=20So , median class is 4-8l=4 , f=14 , cf=8 and h=4Median=l+N2-cff×h=4+20-814×4=4+12×414=4+3
42=7 42   ANS
Here maximum frequency is 14
So, modal class is 4-8l=4 , f1=14 , f0=8 , f2=12 and h=4 
Now,Mode=l + f1-f02f1-f0-f2×h=4+14-828-8-12×4=4+6×48=4+3=7    ANS
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in a street,data was collected on the size of 40 families and it is given below: family size:0-4,4-8,8-12,12-16,16-20 number of families:8,14,12,4,2 find median and mode.

in a street,data was collected on the size of 40 families and it is given below:
family size:0-4,4-8,8-12,12-16,16-20
number of families:8,14,12,4,2
find median and mode.