Question

Identify the five important values from this box-and-whisker plot. Explain how you got your answers.



(4 points)


The picture shows a **box-and-whisker plot** drawn on a number line that goes from **40 to 68**.

* There is a **horizontal box** that starts at **56** and ends at **62**.
* Inside the box, there is a **vertical line at 58**, which shows the median.
* A **left whisker** extends from the left side of the box (56) to **46**.
* A **right whisker** extends from the right side of the box (62) to **66**.
* The number line below is marked in **increments of 2** (40, 42, 44, …, 68).

Overall, the middle half of the data is between 56 and 62, with the full data range going from 46 to 66.

Answer 1

The five-number summary is:
- Minimum = 46 (left end of the left whisker)
- Q1 = 56 (left edge of the box)
- Median = 58 (vertical line inside the box)
- Q3 = 62 (right edge of the box)
- Maximum = 66 (right end of the right whisker)

These come directly from the box-and-whisker plot: whisker ends give the min and max, the box edges give the first and third quartiles, and the line inside the box gives the median.