Math Problem Statement
Solution
To solve the problem based on the given pie charts:
The goal is to calculate the central angle for the 18 years old and under age group across all members. We are provided with three pie charts that give the following information:
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Chart 1: Gender Distribution
- Males occupy of the total .
- This implies the percentage of males is .
- Therefore, females occupy of the members.
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Chart 2: Age Distribution of Male Members
- 18 years old and under = .
- This means of males are 18 years or younger.
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Chart 3: Age Distribution of Female Members
- 18 years old and under = .
- Similar to males, of females are 18 years or younger.
Total Contribution of 18 Years Old and Under Group
We need to find the overall percentage of members 18 years and under, combining the data from both male and female members:
- Males make up of the total members, and of them are 18 or younger, so or of the total population are males aged 18 or younger.
- Females make up of the total members, and of them are 18 or younger, so or of the total population are females aged 18 or younger.
Thus, the total percentage of members aged 18 and under is:
Central Angle for the Age Group
The total angle of a pie chart is . To find the central angle corresponding to 5% of the total population:
Thus, the central angle is , which corresponds to option D.
Do you need further clarification, or would you like details on the steps? Here are five additional related questions you might consider:
- How do you calculate percentages from pie charts?
- How can you combine data from two different charts?
- What is the formula for calculating a central angle from a percentage?
- How would the answer change if the age distribution of males and females was different?
- What other interpretations can be made from these pie charts?
Tip: Always ensure that the total angles or percentages in pie charts sum up to or , respectively.
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Math Problem Analysis
Mathematical Concepts
Percentage
Central Angle
Pie Charts
Formulas
Central Angle = (Percentage / 100) × 360°
Theorems
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Suitable Grade Level
Grades 9-11
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