if L =300 ,h=75 ,f =105 ,cf = 215 find the median if N/2 =250
Answers
If L =300 ,h=75 ,f =105 ,cf = 215, the value of median = 325 if N/2 =250
Given:
l = 300; h = 75; f = 105; cf = 215; N/2 = 250
To find:
The value of Median
Solution:
The formula for median is given by
Median = l + (((N/2) - cf) / f) * h
where,
l => lower limits of median class
h => class size (assuming class sizes to be equal)
N => sum of frequencies
f => frequency of median class
cf => cumulative frequency of class coming before median class
In this question, l = 300; h = 75; f = 105; cf = 215; N/2 = 250
Substituting the respective values in this formula, we get
Median = l + (((N/2) - cf) / f) * h
= 300 + ((250 - 215) / 105) * 75
= 300 + ((35) / 105) * 75
= 300 + (2625 / 105)
= 300 + 25
= 325
Hence,
Median = 325
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