Q. 54.4( 172 Votes )

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


Find the median life time of a lamp

Answer :

The cumulative frequency of the given data can be calculated as:

As per the question,


N= 400



Hence,


Median class = 3000-3500

Now,

Median class = 3000-3500
frequency corresponding to median class, f = 86
cumulative frequency of the class preceding the median class, cf = 130
Lower limit, l = 3000
class height, h = 500

Now,


Median can be calculated as:




= 3000 + 406.97


= 3406.97

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