Math Problem Statement

In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream.

If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be __________.

150°

124°

41°

Solution

To find the central angle for the chocolate ice cream sector in a pie chart, we can use the following steps:

  1. First, we calculate the percentage of preschoolers who preferred chocolate ice cream: 125300=0.4167(approximately 41.67%)\frac{125}{300} = 0.4167 \, (\text{approximately } 41.67\%)

  2. Then, multiply this percentage by 360° (the total degrees in a circle) to find the central angle for chocolate ice cream: 0.4167×360=1500.4167 \times 360^\circ = 150^\circ

So, the central angle for the chocolate ice cream sector is 150°.

Would you like more details or have any questions?

Here are 5 related questions for you to explore:

  1. How would you calculate the central angle for vanilla ice cream?
  2. What is the central angle for cookies & cream ice cream in the pie chart?
  3. How would you calculate the percentage for each ice cream flavor in the pie chart?
  4. If another flavor was added, how would that change the central angles of the other sectors?
  5. How can you interpret a pie chart to compare different categories?

Tip: When working with pie charts, always remember the total of all the central angles should add up to 360°.

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions
Angles in Pie Charts

Formulas

Percentage = (Number of preferences / Total number of responses) × 100
Central angle = (Percentage of total) × 360°

Theorems

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Suitable Grade Level

Grades 6-8