NCERT Solutions Class 8th Maths Chapter – 5 Data Handling Exercise 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 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 a reason for each.

Solution: We know that a Histogram is a graphical representation of data if the data is represented using class- interval.

Since the cases mentioned in options (b) and (d) can be divided into class intervals, the histogram can be used to show the data.

Similarly, since the cases mentioned in options (a) and (c) cannot be divided into class intervals, the histogram cannot be used to represent the data.

Ncert Solution Class 8th (Chapter – 1) Exercise – 5.1 Question . 2

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.

Solution:

Frequency distribution table:

Bar-graph:

Ncert Solution Class 8th (Chapter – 1) Exercise – 5.1 Question . 3

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.

Solution:

The frequency table with intervals as 800 – 810, 810 – 820 and so on, using tally marks is given below:

Ncert Solution Class 8th (Chapter – 1) Exercise – 5.1 Question . 4

4. Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.
(i) Which group has the maximum number of workers?
(ii) How many workers earn ₹ 850 and more?
(iii) How many workers earn less than ₹ 850?

Solution:

(i) 830 – 840 is the group having a maximum number of workers, 9, compared to other groups.
(ii) Workers earning ₹ 850 and more = 1 + 3 + 1 + 1 + 4 = 10
(iii) Workers earning less than ₹ 850 = 3 + 2 + 1 + 9 + 5 = 20

Ncert Solution Class 8th (Chapter – 1) Exercise – 5.1 Question . 5

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

Solution:

(i) 32 students watched T.V for 4-5 hours. ∴, The maximum number of students who watched T.V. for 4 – 5 hours.
(ii) The number of students who watched T.V. less than 4 hours = 22 + 8 + 4 = 34
(iii) The number of students who spent more than 5 hours watching TV = 8 + 6 = 14