Q26. Find the median for the given frequency distribution: Class 40-45 45-50 70-75 50-55 55-60 60-65 65-70 6 6 3 2 Frequency 3 2 8
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Find the median for the given frequency distribution:
Class 40 - 45 45 - 50 50 - 55 55 - 60 60-65 65-70 70-75
Frequency 2 3 8 6 6 3 2
Step-by-step explanation:
We have, n=30
n
/2=15
The cumulative frequency just greater than n/2 is 19 and the corresponding class is 55–60.
Thus, 55–60 is the median class such that n/2 =15,l=55,f=6,cf=13 , and h=5
When we Substitute these values in the formula
Median, M=l+ (
n
/2 −cf
)/f * h
M=55+( 15−13 /6 )
×5
M=55+ 2/6 ×5=55+1.67=56.67
Therefore, the median weight is 56.67 kg .
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