The boxplot below shows the distribution of wages for the fast food workers at a company. (If you cannot see the imag on this Google Drive link.) 7.00 7.50 8.00 8.50 Wages 4 9.00 9.50 10.00 10.50 11.00 11.50 Hourly wages (5) -O-Wages Which of the following is the best explanation for why there is no visible "left whisker" on the plot? That is, why do the les whisker and the left edge of the box fall at the same place? There are no outliers on the low end of the range. A substantial percentage of the workers did not answer the survey. Over 25% of fast food workers at this company make minimum wage ($7.25). The sample includes wages from $7.25 to $8.00, but the whole population includes wages up to $11.00.

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### Boxplot Analysis of Wages for Fast Food Workers

The boxplot below shows the distribution of wages for the fast food workers at a company.

![Boxplot of Wages](Google Drive link)

#### Detailed Description of the Boxplot:

- **Horizontal Axis (Hourly wages $)**: The horizontal axis represents hourly wages in dollars, ranging from $7.00 to $11.50.
- **Box and Whiskers**: 
  - The left edge of the box is at approximately $7.50.
  - The right edge of the box is at approximately $9.50.
  - The right whisker extends slightly past $10.00.
  - There is no visible left whisker, indicating that the lowest wage is the same as the left edge of the box.
  
#### Multiple-Choice Question
**Which of the following is the best explanation for why there is no visible "left whisker" on the plot? That is, why do the left whisker and the left edge of the box fall at the same place?**

A. There are no outliers on the low end of the range.

B. A substantial percentage of the workers did not answer the survey.

C. Over 25% of fast food workers at this company make minimum wage ($7.25).

D. The sample includes wages from $7.25 to $8.00, but the whole population includes wages up to $11.00.

#### Answer:
C. Over 25% of fast food workers at this company make minimum wage ($7.25).

**Explanation**: The left whisker and the left edge of the box coincide because a significant proportion of the workers earn the minimum wage, representing the first quartile (25th percentile). This implies that the minimum wage is common among a substantial number of workers, thus showing no variety below this value.

By understanding the context and the statistical representation, one can infer that the least value, which is also the first quartile, signifies a common minimum wage among the workers surveyed.
Transcribed Image Text:### Boxplot Analysis of Wages for Fast Food Workers The boxplot below shows the distribution of wages for the fast food workers at a company. ![Boxplot of Wages](Google Drive link) #### Detailed Description of the Boxplot: - **Horizontal Axis (Hourly wages $)**: The horizontal axis represents hourly wages in dollars, ranging from $7.00 to $11.50. - **Box and Whiskers**: - The left edge of the box is at approximately $7.50. - The right edge of the box is at approximately $9.50. - The right whisker extends slightly past $10.00. - There is no visible left whisker, indicating that the lowest wage is the same as the left edge of the box. #### Multiple-Choice Question **Which of the following is the best explanation for why there is no visible "left whisker" on the plot? That is, why do the left whisker and the left edge of the box fall at the same place?** A. There are no outliers on the low end of the range. B. A substantial percentage of the workers did not answer the survey. C. Over 25% of fast food workers at this company make minimum wage ($7.25). D. The sample includes wages from $7.25 to $8.00, but the whole population includes wages up to $11.00. #### Answer: C. Over 25% of fast food workers at this company make minimum wage ($7.25). **Explanation**: The left whisker and the left edge of the box coincide because a significant proportion of the workers earn the minimum wage, representing the first quartile (25th percentile). This implies that the minimum wage is common among a substantial number of workers, thus showing no variety below this value. By understanding the context and the statistical representation, one can infer that the least value, which is also the first quartile, signifies a common minimum wage among the workers surveyed.
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