NCERT Solution Class X Mathematics Statistics Question 5 (Ex 14.3)

Question 5:

Find 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 frequencies with their respective class intervals are as follows.

It can be observed that the cumulative frequency just greater than  is 216, belonging to class interval 3000 − 3500.

Median class = 3000 − 3500

Lower limit (l) of median class = 3000

Frequency (f) of median class = 86

Cumulative frequency (cf) of class preceding median class = 130

Class size (h) = 500

Therefore, median life time of lamps is 3406.98 hours.

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