If the median of the distribution given below is 28.5, find the values of X and y
C.I.= 0-10, 10-20, 20-30, 30-40, 40-50, 50-60
F= 5, 8, x, 15, y, 5
total=60
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Answer:
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 preceed the median class
f = frequency of median class
h = class size
HOPE THIS WILL HELP YOU....
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