Let's solve each question step by step based on the pie chart provided.
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Given Data from the Pie Chart:
-
Comedy: 3 students
-
Drama: 6 students
-
Horror: 4 students
-
Sci-Fi: 2 students
-
Action: 5 students
Total number of students = 3 + 6 + 4 + 2 + 5 =
20 students
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1. What is this pie chart about?
This pie chart shows the favorite types of movies among a group of students.
✔ Answer: The favorite type of movie among students.
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2. How many students like horror movies?
From the chart, Horror = 4 students.
✔ Answer: 4 students
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3. What percent of students like action movies?
Action = 5 students
Total = 20 students
$$
\text{Percent} = \left( \frac{5}{20} \right) \times 100 = 25\%
$$
✔ Answer: 25%
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4. What type of movie do most students like the best?
Look at the largest section:
- Drama has 6 students → highest number.
✔ Answer: Drama
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5. What is the least liked movie type?
Smallest section: Sci-Fi = 2 students.
✔ Answer: Sci-Fi
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6. How many students like drama than horror?
Drama = 6, Horror = 4
Difference = 6 - 4 = 2
✔ Answer: 2 students
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7. What percent of students like sci-fi movies?
Sci-Fi = 2 students
$$
\text{Percent} = \left( \frac{2}{20} \right) \times 100 = 10\%
$$
✔ Answer: 10%
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8. What is the central angle of the sector for horror movies?
Horror = 4 students out of 20
$$
\text{Central angle} = \left( \frac{4}{20} \right) \times 360^\circ = 0.2 \times 360 = 72^\circ
$$
✔ Answer: 72°
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9. What percent of students like comedy or sci-fi movies?
Comedy = 3, Sci-Fi = 2 → Total = 5
$$
\text{Percent} = \left( \frac{5}{20} \right) \times 100 = 25\%
$$
✔ Answer: 25%
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10. What is the total number of students who answered this survey about favorite type of movie?
Add all: 3 + 6 + 4 + 2 + 5 =
20
✔ Answer: 20 students
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✔ Final Answers:
1. The favorite type of movie among students
2. 4 students
3. 25%
4. Drama
5. Sci-Fi
6. 2 students
7. 10%
8. 72°
9. 25%
10. 20 students
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of circle graph worksheet.
