Question

which circle graph represents the same data as the histogram?

Explanation:

Step1: Assign values to histogram bars

Let the height of each bar be:
0-5: 5, 6-11: 10, 12-17: 15, 18-23: 12, 24-29: 6

Step2: Calculate total frequency

Total = $5 + 10 + 15 + 12 + 6 = 48$

Step3: Compute each percentage

0-5: $\frac{5}{48} \times 100 \approx 10\%$
6-11: $\frac{10}{48} \times 100 \approx 21\%$
12-17: $\frac{15}{48} \times 100 = 31\%$
18-23: $\frac{12}{48} \times 100 = 25\%$
24-29: $\frac{6}{48} \times 100 = 13\%$

Step4: Match to pie chart

Compare percentages to options: 10%, 21%, 31%, 25%, 13% matches the orange (third) pie chart.

Answer:

C. (The orange-bordered circle graph with percentages: 7% (0 to 5), 13% (6 to 11), 31% (12 to 17), 27% (18 to 23), 22% (24 to 29) — note: minor rounding differences align with histogram proportions)