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

life time(in hours)=1500-2000,2000-2500,2500-3000,3000-3500,3500-4000,4000-4500,4500-5000

numbers of lamps= 14,56,60,86,74,62,48

find the median life time of a lamp

Asked by akhilrallabandi08 | 19 Sep, 2021, 06:52: PM
 Lower value Upper value Number of lamps 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

Since total number of lamps is 400, median class cumulative frequency is near to 200

From above table we see that median class is having lower value 2500 and upper value 3000

Where l = 3000 , lower value of median class,  n = 400 is total number of lamps ,
Cf = 130 is cumulative frequency of class previous to median class , f is frequency of median class
and h is class interval

Median = 3000 + [ ( 200 - 130) / 86 ] × 500 = 3407
Answered by Thiyagarajan K | 19 Sep, 2021, 08:20: PM
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