Question

construct a pie chart for the percentages of mothers aged 40 to 44 in a certain country with various numbers of children.

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$$\begin{tabular}{|c|c|} \\hline number of children & percentage of mothers \\\\ \\hline 1 & 20\\% \\\\ 2 & 40\\% \\\\ 3 & 26\\% \\\\ 4 or more & 14\\% \\\\ \\hline \\end{tabular}$$

which pie chart below displays the data correctly?

Explanation:

Identify the given data

Using the Pie Chart Interpretation knowledge point
The problem provides a frequency distribution table showing the percentage of mothers aged 40 to 44 with various numbers of children:

• 1 child: \(20\%\)
• 2 children: \(40\%\)
• 3 children: \(26\%\)
• 4 or more children: \(14\%\)

Analyze the options

We need to find the pie chart that correctly matches both the percentages and their corresponding labels in the legend.

• Option A:
• 1 child: \(40\%\) (Incorrect, should be \(20\%\))
• 2 children: \(20\%\) (Incorrect, should be \(40\%\))
• 3 children: \(26\%\)
• 4 or more: \(14\%\)

• Option B:
• 1 child: \(20\%\)
• 2 children: \(40\%\)
• 3 children: \(14\%\) (Incorrect, should be \(26\%\))
• 4 or more: \(26\%\) (Incorrect, should be \(14\%\))

• Option C:
• 1 child: \(20\%\)
• 2 children: \(40\%\)
• 3 children: \(26\%\)
• 4 or more: \(14\%\)
• Let's check the visual sizes of the sectors:
• The sector for "2 children" (\(40\%\), orange/red) is the largest sector, representing nearly half the circle (\(144^\circ\)).
• The sector for "3 children" (\(26\%\), green) is slightly larger than a quarter (\(93.6^\circ\)).
• The sector for "1 child" (\(20\%\), blue) is slightly smaller than a quarter (\(72^\circ\)).
• The sector for "4 or more" (\(14\%\), yellow) is the smallest sector (\(50.4^\circ\)).
• This matches the data and visual proportions perfectly.

• Option D:
• 1 child: \(20\%\)
• 2 children: \(40\%\)
• 3 children: \(26\%\)
• 4 or more: \(14\%\)
• Let's check the visual sizes of the sectors in Option D:
• The yellow sector ("4 or more", \(14\%\)) and the blue sector ("1 child", \(20\%\)) are drawn as equal quarter-circles (\(25\%\) each, or \(90^\circ\)), which is visually incorrect.

Therefore, Option C is the correct representation.

Answer:

• (A) 1: 40%, 2: 20%, 3: 26%, 4 or more: 14%
• (B) 1: 20%, 2: 40%, 3: 14%, 4 or more: 26%
• (C) 1: 20%, 2: 40%, 3: 26%, 4 or more: 14% (Correct answer)
• (D) 1: 20%, 2: 40%, 3: 26%, 4 or more: 14% (incorrect sector proportions)