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Data Handling

Long Answer Type

21.

Each of the following pie charts gives you a different piece of information about your class. Find the fraction of the circle representing each of these information.

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Short Answer Type

22.

Answer the following questions based on the pie chart given.
(i) Which type of programmes are viewed the most?
(ii) Which two types of programmes have number of viewers equal to those watching sports channels?

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Long Answer Type

23. Draw a pie chart of the data given below.
The time spent by a child during a day.
Sleep - 8 hours
School - 6 hours
Home work - 4 hours
Play - 4 hours
others - 2 hours

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Short Answer Type

24. Which form of graph would be appropriate to display the following data.
Production of food grains of a state.

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25. Which form of graph would be appropriate to display the following data.
Choice of food for a group of people.

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26. Which form of graph would be appropriate to display the following data.
The daily income of a group of a factory workers.

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Long Answer Type

27. A survey was made of 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?
(ii) Which type of music is liked by the maximum number of people?
(iii) If a cassette company were to make 1000 CD ’s how many of each type would they make?

(i) Let the requried number of young people = x
∴ 10% of x = 20
or $10 over 100 cross times straight x space equals space 20$
or $straight x space equals space fraction numerator 20 cross times 100 over denominator 10 end fraction equals 200$
(ii) Maximum number of people like the light music.
(iii) Total number of CD's = 1000
∴ Number of CD's for semi classical = 20% of 1000
$equals space 20 over 100 cross times 1000 equals 200$
Number of CD's for classical = 10% of 1000
= $space 10 over 100 cross times 1000 equals 100$

Number of CD's for folks = $30 over 100 cross times 1000 equals 300$
Number of CD's for light music = 40% of 1000
$equals 40 over 100 cross times 1000 equals 400$

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

(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information.

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

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30.

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 student were 540, answer the following questions.
(i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle = 360°. 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.)

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