Class 8 - Mathematics
Data Handling - Exercise 5.1
Top Block 1
Question: 1. 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 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 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 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 reason for each.
Answer : Since, Histogram is a graphical representation of data, if data represented in manner of class-interval.
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.
In case (b), a group of competitions having different heights in an athletics meet.
In case (d), the number of passengers boarding trains in an interval of one hour at a station.
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.
In case (b), a group of competitions having different heights in an athletics meet.
In case (d), the number of passengers boarding trains in an interval of one hour at a station.
Question:2. The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.
W WW G B W W M G G M M W WWW G B M W B G G M W W M M W WW M W B W G M W WWW G W M M W M W G W M G W M M B G G W.
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
W WW G B W W M G G M M W WWW G B M W B G G M W W M M W WW M W B W G M W WWW G W M M W M W G W M G W M M B G G W.
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
Answer : The frequency distribution table is as follows:
The illustration of data by bar-graph is as follows:
Mddle block 1
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.
Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.
Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.
Answer : The representation of data by frequency distribution table using tally marks is as follows:
(i) How many workers earn ` 850 and more?
(ii) How many workers earn less than `850?
(ii) How many workers earn less than `850?
Answer : 830 – 840 group has the maximum number of workers.
(i) 10 workers can earn more than `850.
(ii) 20 workers earn less than `850.
(i) 10 workers can earn more than `850.
(ii) 20 workers earn less than `850.
Question:5. The number of hours for which students of a particular class watched television during holidays is shown through the given graph.
We draw the histogram for above frequency table:
Answer the following:
(i) For how many hours did the maximum number of students watch T.V.?
(ii) How many students watched TV for less than 4 hours?
We draw the histogram for above frequency table:
Answer the following:
(i) For how many hours did the maximum number of students watch T.V.?
(ii) How many students watched TV for less than 4 hours?
(iii) How many students spent more than 5 hours in watching TV?
Answer : (i) The maximum number of students watched T.V. for 4 – 5 hours.
(ii) 34 students watched T.V. for less than 4 hours.
(iii) 14 students spent more than 5 hours in watching T.V.
(ii) 34 students watched T.V. for less than 4 hours.
(iii) 14 students spent more than 5 hours in watching T.V.