Q. 14.1( 174 Votes )

For which of these would you use a histogram to show the data?

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number of cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.

Give reasons for each.

Answer :

while observing the given data we can conclude that data in (b) and (d) can be represented using a histogram.

Now, these data can be arranged in class intervals.


This is what is required to depict a histogram.


There should be no gap between two bars

(a) The number of letters for different areas in a postman's bag - This situation cannot be represented in histogram form as we cannot deduce the class interval. 
(b) The height of competitors in an athletics meet - This situation can be represented by histogram, as the height of competitors will give continuous class intervals.
(c) The number of cassettes produced by 5 companies - Now the number of cassettes in this situation can be in any amount and hence the class interval is not defined.
 
(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station - As the time is predefined from 7:00 am to 7:00 pm, the class interval for this period can be easily formed and thus can be represented by histogram.

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