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Data Representation

Grade

10

Term

1

  1. What is a pie chart used for in data representation?

  2. What is the total angle around the centre of a circle, which is used to represent the total frequency in a pie chart?

  3. In a survey of 60 students, 25 preferred cricket. What is the angle of the sector that would represent the students who prefer cricket in a pie chart?

  4. In the same survey of 60 students, 15 preferred elle. Calculate the angle of the sector for elle.

  5. A pie chart shows that the angle for a sector representing educational TV programmes is 90∘. What fraction of the total time is allocated to educational programmes?

  6. A TV channel telecasts for 18 hours a day. If the sector for sports in a pie chart has an angle of 60∘, how many hours are allocated for sports?

  7. A pie chart represents the types of crops on 720 hectares of land. The sector for tea has a central angle of 100∘. What is the area of land used for tea cultivation?

  8. In the same pie chart from question 7, the sector for rubber has an angle of 150∘ and for coconut is 90∘. Calculate the angle for the sector representing cinnamon.

  9. A welfare society has 30 members who prefer Polonnaruwa, 36 who prefer Kandy, and 54 who prefer Anuradhapura for a trip. How many members are in the society in total?

  10. Using the data from question 9, calculate the angle of the sector representing the members who prefer Kandy.

  11. A pie chart shows the results of an election. The party that won received 9300 votes, represented by a sector of 150∘. What was the total number of votes cast in the election?

  12. In the election from question 11, the sector for the third-place party is 75∘. How many votes did this party receive?

  13. A pie chart represents the preferences of 40 students for mass media. The angle for the "Television" sector is 162∘. How many students prefer television?

  14. In a sports club, the sector for members who like Chess is 40∘ and this represents 8 members. What is the total number of members in the club?

  15. Using the information from question 14, if the sector for Carrom is 150∘, how many members prefer Carrom?

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