The following table gives the life times of 400 neon lamps:- Life time (in hours) Number of lamps 300 - 400 14 400 - 500 56 500 - 600 60 600 - 700 86 700 - 800 74 800 - 900 62 900 - 1000 48 (i) Represent the given information with the help of a histogram. (ii) How many lamps have a life time of more than 700 hours?

The Following Table Gives the Life Times of 400 Neon Lamps - Mathematics

The following table gives the life times of 400 neon lamps:-

Life time (in hours)	Number of lamps
300 - 400	14
400 - 500	56
500 - 600	60
600 - 700	86
700 - 800	74
800 - 900	62
900 - 1000	48

(i) Represent the given information with the help of a histogram.

(ii) How many lamps have a life time of more than 700 hours?

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Solution

(i) By taking life time (in hours) of neon lamps on x-axis and the number of lamps on y-axis, the histogram of the given information can be drawn as follows.

Here, 1 unit on y-axis represents 10 lamps.

(ii) It can be concluded that the number of neon lamps having their lifetime more than 700 is the sum of the number of neon lamps having their lifetime as 700 − 800, 800 − 900, and 900 − 1000.

Therefore, the number of neon lamps having their lifetime more than 700 hours is 184. (74 + 62 + 48 = 184)

Concept: Graphical Representation of Data

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Chapter 14: Statistics - Exercise 14.3 [Page 259]

Q 5 Q 4 Q 6

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