The problem describes a survey where 30 people answered about their favorite book genres. The results are shown in a pie chart. We are asked to find how many people said poetry was their favorite genre.

Probability and StatisticsPercentagesData InterpretationPie ChartFractions
2025/6/1

1. Problem Description

The problem describes a survey where 30 people answered about their favorite book genres. The results are shown in a pie chart. We are asked to find how many people said poetry was their favorite genre.

2. Solution Steps

The pie chart shows the angle representing each genre. The angle corresponding to poetry is 3636^{\circ}.
A full circle is 360360^{\circ}.
The fraction of people who chose poetry is the angle of the poetry section divided by the total angle of the circle.
Fraction of people who chose poetry = 36360\frac{36^{\circ}}{360^{\circ}}
Fraction of people who chose poetry = 36360=110\frac{36}{360} = \frac{1}{10}
To find the number of people who chose poetry, multiply the total number of people surveyed by the fraction of people who chose poetry.
Number of people who chose poetry = Total number of people ×\times Fraction of people who chose poetry
Number of people who chose poetry = 30×11030 \times \frac{1}{10}
Number of people who chose poetry = 30×0.1=330 \times 0.1 = 3

3. Final Answer

3 people said poetry.

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