Question

Comparisons - 8/10
+21

Jenna created a box and whisker plot to show how many hours she practiced her cello each week.

What is the interquartile range for the data?

A box plot of Kelsey's practice time. Quartile 1 starts at 2. Quartile 2 starts at 3.5. Quartile 3 starts at 5. Quartile 4 starts at 5.5 and ends at 7.5.
Scroll Down

You can earn 5 coins

Hint
This feature does not work with a screen reader. Please use shapes, lines, or other tools available below to annotate the page. Pressing enter on this button enables or disables the feature.
Pen

Tools
1.5 hours
2 hours
4 hours
5.5 hours

Answer 1

To find the interquartile range (IQR) from a box and whisker plot, you can follow these steps:

1. **Identify Quartiles**:
- **Q1 (First Quartile)**: 2 hours
- **Q2 (Median or Second Quartile)**: 3.5 hours
- **Q3 (Third Quartile)**: 5 hours
- **Q4 (Fourth Quartile)**: 5.5 hours (not directly relevant for IQR)

2. **Calculate the IQR**:
The interquartile range is calculated as:
\[
\text{IQR} = Q3 - Q1
\]

3. **Plug in the values**:
\[
\text{IQR} = 5 - 2 = 3
\]

Thus, the interquartile range for Jenna's practice time is **3 hours**.