Question

which of the following best describes the data display? attendees in classes pie chart: history 25%, algebra 25%, spanish 15%, english 15%, gym 10%, shop 10% options: the distribution is symmetric. 50% of the students take history or algebra. 25% of the students take gym or shop.

Explanation:

To solve this, we analyze each option using the pie chart data (History: 25%, Algebra: 25%, Spanish: 15%, English: 15%, Gym: 10%, Shop: 10%):

Option 1: "The distribution is symmetric."

• History (25%) and Algebra (25%) are equal.
• Spanish (15%) and English (15%) are equal.
• Gym (10%) and Shop (10%) are equal.
• The data is symmetric across the center of the pie chart.

Option 2: "The distribution is uniform."

A uniform distribution requires all categories to have equal percentages. Here, percentages are 25%, 25%, 15%, 15%, 10%, 10% (not all equal), so this is false.

Option 3: "50% of the students take History or Algebra."

• History: 25%, Algebra: 25%.
• Sum: \( 25\% + 25\% = 50\% \).
• However, we must check if "symmetric" is a better description. The symmetry (matching pairs) is a core characteristic of the distribution, while this is a specific percentage sum.

Option 4: "25% of the students take Gym or Shop."

• Gym: 10%, Shop: 10%.
• Sum: \( 10\% + 10\% = 20\%

eq 25\% \), so this is false.

The most accurate description of the distribution’s shape is that it is symmetric (matching percentages for paired categories).

Answer:

The distribution is symmetric.