Question 1
For which of these would you use a histogram to show the data:
Give a reason for each.

(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.

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Solution

Since, Histogram is a graphical representation of data, if data, represented in manner of class interval(Grouped data).

Therefore, for case (b) and (d) , we would use a histogram to show the data, because in these cases, data can be divided into class -intervals or groups.

In case(b), the heights of all the competitors can be divided into groups. For example, 4.5 feet to 5.5 feet can be group 1, 5.5 feet to 6.5 feet can be group 2 and so on.

In case(d),the groups can be formed on the basis of time interval. for example, passengers boarding trains from 7:00 a.m. to 8:00 a.m. can be group 1 and so on.

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Similar questions

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.

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

Give reasons for each.

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.

Q. For which of these would you use a histogram to show the data.
The number of letters for different areas in a postman's bag.

Q. Directions: Study the following table carefully and answer the questions that follows:
Chart showing schedule of train from Dadar to Bhuj and number of passengers boarding from each station

What is the respective ratio between the number of passengers boarding from Vasai Road and from Ahmedabad in the train?

Q. A train X departs from station A at 11.00 a. m. for station B, which is 180 km away. Another train Y departs from station B at 11 : 00 a. m. for station A. Train X travels at an average speed of 70 km/hr and not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 km/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance, to the nearest km, from station A to the point where the train crosses each other ? (2001)

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