8th Maths 5.2

Chapter 5

Data Handling

NCERT Class 8th Solution of Exercise 5.1

NCERT Class 8th Solution of Exercise 5.3

EXERCISE 5.2

1. A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey.
From this pie chart answer the following:

i) If 20 people liked classical music, how many young people were surveyed?
ii) Which type of music is liked by the maximum number of people?
iii) If a cassette company were to make 1000 CDs, how many of each type would they make?

`text{Solution:}`

i) `text{Number of young people who were surveyed}`

`= (100times20)/10`

`text{=200 people}`

ii) `text{Light music is liked by the maximum}``text{ number of people i.e. }``40%.`

iii) `text{Total number of CD = 1000.}`

`text{Number of people who liked}`

`text{classical music}``= (10times1000)/100``= 100`

`text{semi-classical music}``= (20times1000)/100``= 200`

`text{Light music}``= (40times1000)/100``= 400`

`text{Folk music}``= (30times1000)/100``= 300`  

2. A group of 360 people was asked to vote for their favorite season from the three seasons rainy, winter and summer.

i) Which season got the most votes?

`text{Answer}`

`text{Winter season got the most votes, i.e. 150.}`

ii) Find the central angle of each sector. 

`text{Answer:}`

`text{Pie Chart}`

iii) Draw a pie chart to show this information.
`text{Answer:}`

`text{Pie chart}`

3. Draw a pie chart showing the following information. The table shows the colors ordered by a group of people.

`text{Solution:}`

`text{Central Angle}`

`text{Pie Chart}`

4. The adjoining pie chart gives the marks scored in an examination by a dent in Hindi English Mathematics, Social Science and Science the total marks bed by the students were 540, answer the following questions.

i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angler. So, for 105 marks, what is the central angle?)
ii) How many more marks were obtained by the student in Mathematics than in Hindi?
iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi
(Hint: Just study the central angles)

i) `text{Solution:}`

`text{Total marks 540 and central angle 360°}`

`text{For 105 marks the central angle}`= 360/540times105=70°,`

`text{the Corresponding subject is Hindi}`

ii) `text{Solution:}`

`text{Marks obtained in Mathematics}``=90/360times540=135`

`text{Marks obtained in Mathematics more than Hindi}``=135-105=30`

iii) `text{Solution:}`

`text{Central angle of Social Science + Mathematics}``=65°+90°=155°`

`text{Cental angle of Science +Hindi}``=80°+70°=150°`

5. The number of students in a hostel, speaking different languages is given below Display the data in a pie chart.

`text{Solution:}`

`text{Central angle}`

`text{Pie Chart}`