Question

The 840 students in a school are asked, if they want a change of school uniform. Pie chart to be drawn.
The results are shown in the following table.
Respond Sector Angle
1. Yes 114°
2. No 175°
3. Do not Know a°

(i) Find the angle a ?
(ii) Find the number of students who said Yes ?
no fake answers

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Data Handling

Exercise 5.2

Question 1: A survey was made to find the type of music that a certain group of young people liked in a city. 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?

Answer: When 10 people liked classical music, number of people surveyed is 100

So, When 1 person liked the classical music, number of people surveyed is 1001010010

When 20 people like the classical music, number of people surveyed

=10010×20=200=10010×20=200

(ii) Which type of music is liked by the maximum number of people?

Answer: Light music is liked by maximum number of people.

(iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?

Answer: Number of CD’s for different music

Semi Classical =1000×20%=200=1000×20%=200

Classical =1000×10%=100=1000×10%=100

Folk =1000×30%=300=1000×30%=300

Light =1000×40%=400=1000×40%=400

Question 2: A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.

SeasonNo. of VotesSummer90Rainy120Winter150

(i) Which season got the most votes?

(ii) Find the central angle of each sector.

(iii) Draw a pie chart to show this information.

Answer: (i) Winter got the most number of votes.

(ii) Central Angle can be calculated as follows:

Season’s number of votesTotal votes×360°Season’s number of votesTotal votes×360°

Central angle for summer =90360×360°=90°=90360×360°=90°

Central angle for rains =120360×360°=120°=120360×360°=120°

Central angle for winter =150360×360°=150°=150360×360°=150°

(iii) Pie Chart is as follows:



Question 3: Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

ColoursNo. of peopleBlue18Green9Red6Yellow3Total36

Calculate respective proportion of each colour and use that proportion to find the central angle.

Answer: Following is the required pie chart:



Proportion of Blue =1836=12=1836=12

So, central angle for Blue =360°×12=180°=360°×12=180°

Proportion of red =636=16=636=16

So, central angle for red =360°×16=60°=360°×16=60°

Proportion of yellow =336=112=336=112

So, central angle for yellow =360°112=30°=360°112=30°

Proportion of green =936=14=936=14

So, central angle for green =360°×14=90°=360°×14=90°

Question 4: The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. All values are shown in degrees.



(i) In which