8th Maths 5.1

Chapter 5

Data Handling

NCERT Class 8th Solution of Exercise 5.2

NCERT Class 8th Solution of Exercise 5.3

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 am to 7:00pm. at a station.
Give reasons for each.

`text{Answer:}`

`text{b), d), use a histogram to show the data.}`

`text{Because in all these cases data can be divided into class intervals.}`

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.
WWWGBWWMGGMMWWWWGBMWBGGMWWMMWWWMWBWGMWWWWWMMWWMWGWMGWMMBGGW
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

`text{Solution}`

`text{Bar graph}`

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.

`text{Answer:}`

`text{Histogram}`

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?

`text{Solution:}`

`text{Histogram}`

i) `text{Which group has the maximum number}``text{ of workers?}`

`text{Answer:}` 

`830 - 840`

ii) `text{How many workers earn? 850 and more?}`

`text{Answer:}` 

`10`

iii) `text{How many workers earn less than 850?}`

`text{Answer:}`

`20` 

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 TV?

ii) How many students watched TV for less than 4 hours?
iii) How many students spent more than 5 hours in watching TV?

`text{Solution:}`

i) `text{For how many hours did the maximum number}``text{ of students watch TV?}`

`text{Answer:}`

`text{4-5 hours}`

ii) `text{How many students watched TV for less than}``text{ 4 hours?}`

`text{Answer:}`

`text{34}`

iii) `text{How many students spent more than 5 hours}``text{ in watching TV?}`

`text{Answer:}`

`text{14}`