Final answer:
To create a box and whisker plot from a five-number summary, plot the minimum, first quartile, median, third quartile, and maximum on a number line, draw a box from the first to third quartile, and add whiskers to the minimum and maximum.
Step-by-step explanation:
To convert the 5-number summary into a box and whisker plot, we need to place the minimum, first quartile, median, third quartile, and maximum on a number line in that order. We then draw a box from the first quartile to the third quartile and draw a line inside the box at the median. Finally, we draw whiskers from the first quartile to the minimum and from the third quartile to the maximum.
Based on the given 5-number summary for a box and whisker plot, here are the steps:
- Draw a number line that covers the range of the values from the minimum (-265) to the maximum (-154).
- Mark the first quartile at -180, the median at -197.5, and the third quartile at -211 on the number line.
- Draw a box from the first quartile (-180) to the third quartile (-211).
- Draw a whisker from the first quartile to the minimum value (-265) and another whisker from the third quartile to the maximum value (-154).
- Place a line within the box at the median (-197.5).
The box plot visually represents the central 50% of the data, known as the Interquartile Range (IQR), and the spread of the remaining data through the whiskers.