Question

use a pie chart to display the data, which represent the numbers of student loan borrowers (in millions) by balance owed in a recent quarter. describe any patterns.

\\$1 to \\$10,000: 16.2
\\$10,001 to \\$25,000: 12.1
\\$25,001 to \\$50,000: 7.6
\\$50,001+: 6.2

which pie chart below displays the data?

a.
b.
c.
d.

Explanation:

Calculate total value and relative percentages

$$
LATEXBLOCK0
$$

Compare sector sizes with options

• Blue (largest sector, \(\approx 38.5\%\)): Must be slightly more than a third of the circle.
• Red (second largest, \(\approx 28.7\%\)): Must be slightly more than a quarter of the circle.
• Green (third largest, \(\approx 18.1\%\)): Must be smaller than Red.
• Yellow (smallest sector, \(\approx 14.7\%\)): Must be the smallest slice.

Identify the correct chart

• In Option A: Yellow is the largest sector, which is incorrect.
• In Option B: Blue is the largest, followed by Green, which is incorrect (Red should be larger than Green).
• In Option C: Green is the largest, which is incorrect.
• In Option D: Blue is the largest (\(\approx 38.5\%\)), Red is second largest (\(\approx 28.7\%\)), Green is third (\(\approx 18.1\%\)), and Yellow is the smallest (\(\approx 14.7\%\)). This matches our calculated proportions.

Answer:

• (A) Yellow is the largest sector, followed by Green, Red, and Blue.
• (B) Blue is the largest sector, followed by Green, Red, and Yellow.
• (C) Green is the largest sector, followed by Yellow, Red, and Blue.
• (D) Blue is the largest sector, followed by Red, Green, and Yellow. (Correct answer)