9. Forty children were asked about their
favourite types of movies. The data
collected is as follows:
Comedy Action Animation Science
Fiction
8
11
12
9
Represent the data in a pie chart.
Answers
Answer:
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
100
10
When 20 people like the classical music, number of people surveyed
=
100
10
×
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
Classical
=
1000
×
10
%
=
100
Folk
=
1000
×
30
%
=
300
Light
=
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.
Season No. of Votes
Summer 90
Rainy 120
Winter 150
(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 votes
Total votes
×
360
°
Central angle for summer
=
90
360
×
360
°
=
90
°
Central angle for rains
=
120
360
×
360
°
=
120
°
Central angle for winter
=
150
360
×
360
°
=
150
°
(iii) Pie Chart is as follows:
data handling 5
Question 3: Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
Colours No. of people
Blue 18
Green 9
Red 6
Yellow 3
Total 36
Calculate respective proportion of each colour and use that proportion to find the central angle.
Answer: Following is the required pie chart:
data handling 7
Proportion of Blue
=
18
36
=
1
2
So, central angle for Blue
=
360
°
×
1
2
=
180
°
Proportion of red
=
6
36
=
1
6
So, central angle for red
=
360
°
×
1
6
=
60
°
Proportion of yellow
=
3
36
=
1
12
So, central angle for yellow
=
360
°
1
12
=
30
°
Proportion of green
=
9
36
=
1
4
So, central angle for green
=
360
°
×
1
4
=
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.
data handling 9
(i) In which subject did the student score 105 marks?
Central Angle
=
105
540
×
360
°
=
70
°
In the pie chart 70° is the angle for Math, so the student scored 105 marks in math.
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
Answer: The difference in central angle between Math and Hindi = 90°-70°=20°
So, difference in scores in Hindi and Maths
=
20
°
360
°
×
540
=
30
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
Answer: Total of Angles of Social Science and Math = 80°+70°=150°
Total of Angles of Science and Hindi = 65°+90°=155°
It is clear that sum of marks obtained in Social Science and Math is less than that in Science and Hindi.
Question 5: The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.
Language Hindi English Marathi Tamil Bengali Total
No. of students 40 12 9 7 4 72
Answer:
data handling 13
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Ex 5.
Answer:
Step-by-step explanation:
Data science is an inter-disciplinary field that uses scientific methods, processes, algorithms and systems to extract knowledge and insights from many structural and unstructured data. Data science is related to data mining, machine learning and big data.