Question

Find the median of the following data:
`{:("Class Interval",0-10,10-20,20-30,30-40,40-50),(f,6,8,5,4,7):}`

Answer 1

To find median, we prepare the following table:
`{:("Class Interval","Frequency","Cumulative Frequency"),(" "0-10," "6," "6),(" "10-20," "8," "14(F)),(" "20-30," "5(f)," "19),(" "30-40," "14," "23),(" "40-50," "7," "30),(" ""Total",N=30,):}`
Here `N =30 rArr (N)/(2) = 15`.
This value appears in the class 20-30.
L = Lower boundary of the median class 20-30 = 20
F = 14, f = 5, C = 10 (class length)
`" ""Median" = L + (((N)/(2)-F)/(f)) xx C`
`therefore "Median" = 20 + ((15-14))/(5) xx 10 = 22`.