https://file.aiquickdraw.com/mathbot/file/1726142041190uco8ywnx.jpg

The problem involves a box plot displaying the ages at which boys and girls at a particular college began studying music. Specifically, the task asks how many girls began studying music before the age of 8, given that there are 80 girls in total.

### Solution Process:

1. **Interpret the Box Plot**:
   - The box plot for girls shows the distribution of ages when they began studying music.
   - In a box plot:
     - The left whisker represents the minimum.
     - The box itself covers the interquartile range (IQR) from the first quartile (Q1) to the third quartile (Q3).
     - The right whisker extends to the maximum value.

   From the plot:
   - The minimum age for girls appears to be around **6**.
   - The first quartile (Q1) is about **8**.
   - The median is around **10**.
   - The third quartile (Q3) is near **12**.
   - The maximum age is around **14**.

2. **Determine the Percentage of Girls Starting Before Age 8**:
   - Since the first quartile (Q1) represents the age below which 25% of the data lies, and Q1 is 8 years old, we know that 25% of the girls began studying music **before the age of 8**.

3. **Calculate the Number of Girls**:
   - If 25% of the girls started before age 8, and there are 80 girls in total:
     \[
     \text{Number of girls} = 0.25 \times 80 = 20
     \]
   Therefore, **20 girls** began studying music before the age of 8.

### Final Answer:
20 girls began studying music before the age of 8.

Would you like further details on this solution, or do you have any questions?

---

Here are 5 related questions for further practice:
1. What is the interquartile range (IQR) of the girls' ages?
2. How many girls started studying music after the age of 12?
3. What percentage of boys began studying music before the age of 9?
4. What is the median starting age for boys, according to the box plot?
5. How does the range of starting ages for boys compare to that of girls?

**Tip:** When analyzing box plots, remember that the quartiles divide the data into four equal parts, with each section representing 25% of the data points.

If there are 80 girls at the college, how many began studying music before the age of 8? (working is required)

Learn how to analyze a box plot and calculate how many girls started studying music before the age of 8. This problem uses key concepts such as quartiles and percentage calculations, and is 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