### Data Handling - Solutions 1

CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 5
Data Handling (Ex. 5.1)

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.
Ans. 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 competitiors 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.

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 W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W 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.
Ans. The frequency distribution table is as follows:

The illustration of data by bar-graph is as follows:

3. The weekly wages (in `) of 30 workers in a factory are:
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.
Ans. The representation of data by frequency distribution table using tally marks is as follows:

4. Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.
(i) How many workers earn ` 850 and more?
(ii) How many workers earn less than
` 850?
Ans. 830 – 840 group has the maximum number of workers.
(i) 10 workers can earn more than ` 850.
(ii) 20 workers earn less than ` 850.

5. The number of hours for which students of a particular class watched television during holidays is shown through the given graph.