https://file.aiquickdraw.com/mathbot/file/1730498421147fyod92nx.jpg

To solve this problem, let's follow these steps:

1. **Find the total number of students surveyed**:
   From the table, the number of students who preferred each movie is:
   - Movie A: 23
   - Movie B: 35
   - Movie C: 25
   - Movie D: 24

   Adding these together:
   \[
   23 + 35 + 25 + 24 = 107
   \]

   So, 107 students were surveyed in total.

2. **Calculate the proportion of students who preferred Movie B**:
   \[
   \text{Proportion for Movie B} = \frac{35}{107}
   \]

3. **Estimate the number of students on campus who would prefer Movie B**:
   Since there are 900 students on campus, we use the proportion calculated above to estimate this:
   \[
   \text{Estimated preference for Movie B} = \frac{35}{107} \times 900
   \]

4. **Calculate the answer**:
   \[
   \frac{35}{107} \times 900 \approx 294.39
   \]

   Rounding to the nearest whole number, we get:
   \[
   294
   \]

Therefore, we would expect approximately **294 students** on campus to prefer Movie B.

---

Would you like more details on any step or have further questions?

Here are five related questions to consider:
1. How would the answer change if the total campus population were different?
2. What if the preference percentages among the sampled students changed?
3. How would rounding at intermediate steps affect the accuracy of the final answer?
4. How is this estimation method useful in real-life decision-making?
5. What statistical methods could verify if this sample accurately represents the whole campus?

**Tip**: When working with proportions, always verify the sample size and calculate the proportion accurately to avoid errors in predictions.

Based on the information provided, how many students on campus would we expect to prefer Movie B?

Calculate how many students on campus would prefer Movie B using a sample survey. This problem involves proportions and basic multiplication, providing a practical example of estimation. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation