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?

a. number of children for mothers aged 40-44
1: 40%
2: 20%
3: 26%
4 or more: 14%

b. number of children for mothers aged 40-44
1: 20%
2: 40%
3: 14%
4 or more: 26%

c. number of children for mothers aged 40-44
1: 20%
2: 40%
3: 26%
4 or more: 14%

d. number of children for mothers aged 40-44
1: 20%
2: 40%
3: 26%
4 or more: 14%

Explanation:

Analyze the given data table

Using the Pie Chart Interpretation knowledge point
The table provides the following percentage distribution for the number of children of mothers aged 40 to 44:

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

Verify the total percentage

Using the Pie Chart Interpretation knowledge point

$$ 20\% + 40\% + 20\% + 14\% = 94\% $$

The remaining \(6\%\) is not explicitly listed in the table but the pie chart options must match these specific category percentages exactly in their legends and sector sizes.

Evaluate the given options

Using the Pie Chart Interpretation knowledge point
Let's check the legends and values of each option:

• Option A: 1: \(40\%\), 2: \(20\%\), 3: \(26\%\), 4 or more: \(14\%\) (Incorrect values)
• Option B: 1: \(20\%\), 2: \(40\%\), 3: \(14\%\), 4 or more: \(26\%\) (Incorrect values)
• Option C: 1: \(20\%\), 2: \(40\%\), 3: \(26\%\), 4 or more: \(14\%\) (Incorrect values)
• Option D: 1: \(20\%\), 2: \(40\%\), 3: \(20\%\), 4 or more: \(14\%\) (Matches the table values exactly)

Confirm the correct chart representation

Using the Pie Chart Interpretation knowledge point
Option D correctly displays:

• Blue sector (1 child): \(20\%\)
• Orange sector (2 children): \(40\%\)
• Green sector (3 children): \(20\%\)
• Yellow sector (4 or more children): \(14\%\)

This matches the data table perfectly.

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%
• (D) 1: 20%, 2: 40%, 3: 20%, 4 or more: 14% (Correct answer)