Math Problem Statement

In a recent phone survey, people were asked to state their favorite type of television show. The pie chart below summarizes the responses of those surveyed: (a) Which category was chosen by approximately one-fourth of those surveyed? (b) Approximately what percentage of those surveyed chose Other or Drama? (c) If 32% of those surveyed chose News, approximately what percentage chose Comedy?

Solution

Let's analyze each part of the question based on the pie chart provided:

(a) Which category was chosen by approximately one-fourth of those surveyed?

One-fourth (or 25%) would visually appear as the largest segment taking up about a quarter of the pie chart. In this chart, the segment labeled "Comedy" looks closest to one-fourth of the circle.

Answer: Comedy

(b) Approximately what percentage of those surveyed chose Other or Drama?

Looking at the "Other" and "Drama" sections, each of these segments appears to be around 10% of the pie chart.

Answer: 20% (10% for Other and 10% for Drama)

(c) If 32% of those surveyed chose News, approximately what percentage chose Comedy?

Since the chart indicates that "Comedy" is the largest section, which we previously estimated as about one-fourth (25%) in part (a), this might need adjustment if News is 32%. Given that Comedy seems comparable in size, Comedy would also likely be around 32%.

Answer: 32%

Would you like more details on any specific part or have additional questions?

Related Questions

  1. How can you verify the exact percentage distribution in a pie chart without precise values?
  2. What other survey interpretations can you derive from this pie chart?
  3. How do you calculate percentages for each section in a pie chart when only given relative sizes?
  4. What role does visual approximation play in interpreting pie charts?
  5. Why is it useful to approximate sections in a pie chart for quick insights?

Tip

Always verify proportions by comparing sections visually, and where possible, confirm with percentages if provided.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Interpretation
Percentage Calculation

Formulas

Percentage = (Part/Total) * 100

Theorems

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Suitable Grade Level

Grades 6-8