Below are numbers of hours that a sample of 19 recent college graduates reported working last week. 51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50 Send data to calculator Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data. ? 35 50 55 60 65 70 75 Number of hours worked

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**Title: Box-and-Whisker Plot of Work Hours Reported by Recent College Graduates**

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**Description:**
Below are the numbers of hours that a sample of 19 recent college graduates reported working last week.

51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50

Send data to calculator | Send data to Excel

Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data.

---

**Box-and-Whisker Plot:**
The box-and-whisker plot visually represents the distribution of a dataset through five main summary statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

1. **Plot Explanation:**
   - **Number of hours worked on the x-axis:** The x-axis is labeled "Number of hours worked" and ranges from 35 to 75, in increments of 5 units.
   - **Box:** 
     - **Left edge (Q1):** Represents the first quartile value (around 48 hours).
     - **Right edge (Q3):** Represents the third quartile value (around 64 hours).
     - **Line inside the box (Median):** Represents the median value (around 53 hours).
   - **Whiskers:**
     - **Left whisker (Minimum):** Represents the minimum value of the data set (35 hours).
     - **Right whisker (Maximum):** Represents the maximum value of the data set (71 hours).
   - **Outliers:** Data points outside 1.5 times the interquartile range (IQR) from Q1 and Q3. However, in this plot, there are no visible outliers beyond the whiskers.

This plot gives a visual summary of the central tendency, dispersion, and skewness of the number of hours worked by the sampled college graduates.

---

By analyzing the box-and-whisker plot, one can observe that the majority of the graduates worked between 48 and 64 hours last week, with a median work time of around 53 hours. A longer right whisker indicates a potential upper-end skew or variability in the longer work hours reported.
Transcribed Image Text:**Title: Box-and-Whisker Plot of Work Hours Reported by Recent College Graduates** --- **Description:** Below are the numbers of hours that a sample of 19 recent college graduates reported working last week. 51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50 Send data to calculator | Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data. --- **Box-and-Whisker Plot:** The box-and-whisker plot visually represents the distribution of a dataset through five main summary statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. 1. **Plot Explanation:** - **Number of hours worked on the x-axis:** The x-axis is labeled "Number of hours worked" and ranges from 35 to 75, in increments of 5 units. - **Box:** - **Left edge (Q1):** Represents the first quartile value (around 48 hours). - **Right edge (Q3):** Represents the third quartile value (around 64 hours). - **Line inside the box (Median):** Represents the median value (around 53 hours). - **Whiskers:** - **Left whisker (Minimum):** Represents the minimum value of the data set (35 hours). - **Right whisker (Maximum):** Represents the maximum value of the data set (71 hours). - **Outliers:** Data points outside 1.5 times the interquartile range (IQR) from Q1 and Q3. However, in this plot, there are no visible outliers beyond the whiskers. This plot gives a visual summary of the central tendency, dispersion, and skewness of the number of hours worked by the sampled college graduates. --- By analyzing the box-and-whisker plot, one can observe that the majority of the graduates worked between 48 and 64 hours last week, with a median work time of around 53 hours. A longer right whisker indicates a potential upper-end skew or variability in the longer work hours reported.
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