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in Statistics by (56.3k points)

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

Life 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.

1 Answer

+1 vote
by (30.5k points)
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Best answer

It’s seen that, the cumulative frequency just greater than \(\frac{n}{2}\) (\(\frac{400}{2}\) = 200) is 216 and it belongs to the class interval 3000 – 3500 which becomes the Median class = 3000 – 3500

Lower limits (l) of median class = 3000 and,

Frequency (f) of median class = 86

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

And, the Class size (h) = 500

Thus, calculating the median by the formula, we get

= 3000 + (\(\frac{35000}{86}\))

= 3406.98

Thus, the median life time of lamps is 3406.98 hours.

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