Find the median of the following frequency distribution


Asked by admin @ in Math viewed by 337 People


Find the median of the following frequency distribution.

C.I.: 0–10 10–20 20–30 30–40 40–50 50–60
f : 5 3 10 6 4 2.

Answered by admin @



SOLUTION IS IN THE ATTACHMENT.
Median:
Median is that value of the given observation which divides it into exactly two parts.

MEDIAN for the GROUPED data :

For this we find the Cumulative frequency(cf) of all the classes and n/2 , where n =  number of observations.

Now find the class whose Cumulative frequency is greater than and nearest to n/2 and this class is called median class,then use  the following formula calculating the median.

MEDIAN = l + [(n/2 - cf )/f ] ×h

Where,
l = lower limit of the median class
n = number of observations
cf = cumulative frequency  of class interval preceding the  median class
f = frequency  of median class
h = class  size

HOPE THIS WILL HELP YOU....

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