Below are numbers of hours that a sample of 19 college graduates reported working last week. 50, 58, 57, 52, 41, 38, 46, 53, 58, 68, 48, 52, 57, 65, 44, 62, 47, 42, 63 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. ?

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Below are numbers of hours that a sample of 19 college graduates reported working last week.

50, 58, 57, 52, 41, 38, 46, 53, 58, 68, 48, 52, 57, 65, 44, 62, 47, 42, 63

**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.

### Explanation of the Box-and-Whisker Plot:

- The box plot displays a rectangular box representing the interquartile range (IQR) of the data, which is the range between the first quartile (Q1) and the third quartile (Q3).
- The line inside the box identifies the median of the data set.
- "Whiskers" extend from the box to the smallest and largest data points that are not considered outliers.
- In the plot, the horizontal axis is labeled "Number of hours worked" and ranges from 35 to 70.
- The data in the plot helps visualize the spread and central tendency of the hours worked.

### Plot Details:

1. **Horizontal Axis:** Number of hours worked (scale from 35 to 70).
2. **Central Box:** Represents the interquartile range.
3. **Median Line:** A line inside the box indicates the median number of hours.
4. **Whiskers:** Lines extending from the box show the range of the data, excluding outliers. 

The plot provides a visual summary of the data's distribution and highlights key statistics like the median and quartiles.
Transcribed Image Text:Below are numbers of hours that a sample of 19 college graduates reported working last week. 50, 58, 57, 52, 41, 38, 46, 53, 58, 68, 48, 52, 57, 65, 44, 62, 47, 42, 63 **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. ### Explanation of the Box-and-Whisker Plot: - The box plot displays a rectangular box representing the interquartile range (IQR) of the data, which is the range between the first quartile (Q1) and the third quartile (Q3). - The line inside the box identifies the median of the data set. - "Whiskers" extend from the box to the smallest and largest data points that are not considered outliers. - In the plot, the horizontal axis is labeled "Number of hours worked" and ranges from 35 to 70. - The data in the plot helps visualize the spread and central tendency of the hours worked. ### Plot Details: 1. **Horizontal Axis:** Number of hours worked (scale from 35 to 70). 2. **Central Box:** Represents the interquartile range. 3. **Median Line:** A line inside the box indicates the median number of hours. 4. **Whiskers:** Lines extending from the box show the range of the data, excluding outliers. The plot provides a visual summary of the data's distribution and highlights key statistics like the median and quartiles.
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