A. Describe the shapes of the box plots.Choose all true statements. $$ \square $$ Both have the same first and third quartiles. $$ \square $$ Both have the same range. $$ \square $$ Both have a longer left whisker than right whisker. $$ \square $$ Both have a longer right whisker than left whisker. $$ \square $$ The clusters around the medians are different. $$ \square $$ The medians are slightly different.

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UpStudy AI · Accepted Answer

Without the specific box plots to reference, we can analyze the statements based on general properties of box plots when comparing two of them:

1. **Both have the same first and third quartiles.**
   - **Unlikely to be true** unless explicitly stated. Quartiles can vary between different datasets.

2. **Both have the same range.**
   - **Unlikely to be true** unless explicitly stated. The range (difference between the maximum and minimum) can differ between datasets.

3. **Both have a longer left whisker than right whisker.**
   - **Unlikely to be true** for both unless the data distribution specifically causes this.

4. **Both have a longer right whisker than left whisker.**
   - **Unlikely to be true** for both unless the data distribution specifically causes this.

5. **The clusters around the medians are different.**
   - **Likely to be true.** Different datasets often have different concentrations of data around the median.

6. **The medians are slightly different.**
   - **Likely to be true.** Medians can vary between different datasets.

**Therefore, the true statements are:**

- **The clusters around the medians are different.**
- **The medians are slightly different.**

**Selected True Statements:**
- The clusters around the medians are different.
- The medians are slightly different.
The clusters around the medians are different, and the medians are slightly different.

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