The following table gives the distribution of the life time of 400 neon lamps:


Light time (in hours)



Number of lamps



1500-2000



14



2000-2500



56



2500-3000



60



3000-3500



86



3500-4000



74



4000-4500



62



4500-5000



48



Find the median life.


We can find cumulative frequencies with their respective class intervals as below:


Life time



Number of lams



Cumulative frequency



1500-2000



14



14



2000-2500



56



70



2500-3000



60



130



3000-3500



86



216



3500-4000



74



290



4000-4500



62



352



4500-5000



48



400




N = 400




Median class = 3000-3500


l = 3000, f = 86, F = 130, h = 500


Median = l + * h


= 3000 +


= 3406.98 hours


So, median life time is 3406.98 hours.


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