Question 6 of 17intermediate🔧 ApplyNumerical4 marks

A group of 360 people were asked to vote for their favourite season from the three seasons—rainy, winter and summer. 90 liked the summer season, 120 liked the rainy season, and the rest liked the winter. Draw a pie chart to show this information.

Correct Answer

Given: Total people = 360 Summer = 90 people Rainy = 120 people

Step 1: Find number who liked winter 360 - 90 - 120 = 150 people

Step 2: Calculate angle for Summer (90/360) × 360° = 90°

Step 3: Calculate angle for Rainy (120/360) × 360° = 120°

Step 4: Calculate angle for Winter (150/360) × 360° = 150°

Answer: The pie chart has three sectors:

  • Summer season: 90°
  • Rainy season: 120°
  • Winter season: 150°
Exercise: Figure it Out (Section 2) | Q: 1 | (Page Page 8)
For More Understanding

Explanation

The chapter explains constructing pie charts by dividing 360° in proportion to the quantities. First find the number who liked winter (360-90-120=150), then calculate each angle by dividing each quantity by total and multiplying by 360°.

Solution Steps

  1. Step 1: Find number who liked winter: 360 - 90 - 120 = 150 people

  2. Step 2: Calculate angle for Summer: (90/360) × 360° = 90°

  3. Step 3: Calculate angle for Rainy: (120/360) × 360° = 120°

  4. Step 4: Calculate angle for Winter: (150/360) × 360° = 150°

  5. Step 5: Draw circle and mark sectors with these angles

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