A school has 300 male students and 500 female students wanted to do a survey on a sample of 24 male and female students representing each layer according to its size. Calculate the number of students of each layer in the sample.

To determine the number of male and female students to include in the sample of 24, we'll use **proportional sampling** based on the size of each group in the population. ### Step-by-Step Calculation: 1. **Total Population:** - **Male students:** 300 - **Female students:** 500 - **Total students:** 300 + 500 = **800** 2. **Proportion of Each Group:** - **Proportion of males:** \( \frac{300}{800} = 0.375 \) (or 37.5%) - **Proportion of females:** \( \frac{500}{800} = 0.625 \) (or 62.5%) 3. **Determine Sample Sizes:** - **Male students in sample:** \( 0.375 \times 24 = 9 \) - **Female students in sample:** \( 0.625 \times 24 = 15 \) 4. **Verification:** - Total sampled students: 9 (males) + 15 (females) = **24** ### **Final Answer:** - **9 male students** - **15 female students** These numbers ensure that the sample accurately represents the proportion of male and female students in the entire population.