https://file.aiquickdraw.com/mathbot/file/1729117904509n5lm80se.jpg

Let's analyze the questions and the pie chart provided:

### a) How many of these people said they do at least 30 minutes of exercise each day?

From the pie chart:
- The purple section (102°) represents people who exercise for less than 30 minutes.
- The blue (90°) and orange (168°) sections represent people who exercise for 30-60 minutes and more than 60 minutes, respectively.

The full circle is 360°. Since 120 people were surveyed, each degree on the pie chart represents:
\[
\frac{120 \text{ people}}{360°} = 0.33 \text{ people per degree}
\]

Now, we need to find the total number of people who exercise for at least 30 minutes (the blue and orange sections):
- Total degrees of blue and orange: \( 90° + 168° = 258° \)
- Number of people: \( 258° \times 0.33 \approx 85.14 \)

Rounding this to the nearest whole number, about **85 people** said they exercise for at least 30 minutes each day.

### b) Explanation of why Isabella might be incorrect

Isabella might be incorrect because her survey was conducted at a local gym, which does not represent the general population of the town. People who go to a gym might be more likely to exercise regularly compared to those who don't. Therefore, the survey results might not be reflective of the exercise habits of the entire town.

Would you like more details or have any further questions?

### Related Questions:
1. How would the calculation change if the total number of people surveyed was different?
2. What assumptions are made when using a pie chart for this kind of data analysis?
3. How can you determine if a sample is representative of a larger population?
4. What would be the proportion of people exercising less than 30 minutes?
5. How can you improve the reliability of a survey result?

### Tip:
Always check if the sample size and sampling method accurately represent the population you're making conclusions about to avoid biased results.

Isabella carried out a survey where she asked 120 people at her local gym how much exercise they do each day. The results are shown in the pie chart below.
a) How many of these people said they do at least 30 minutes of exercise each day?
b) Isabella says that the results of her survey show that most people in her town do at least 30 minutes of exercise each day. Write a sentence to explain why Isabella might be incorrect.

Analyze a pie chart to determine how many people exercise for at least 30 minutes each day, and assess the potential sampling bias in survey results. This problem involves calculating proportions based on pie chart data and understanding sample representation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation