Question

A restaurant records the number of tables served each night, and the results have the values: minimum = 3, lower quartile = 14, median = 23, upper quartile = 29, and maximum = 40.
Which box plot represents the data?
mc022-1.jpg
mc022-2.jpg
mc022-3.jpg
mc022-4.jpg

Answer 1

To create the correct box plot based on the provided summary statistics, we need to note the key values that define the box plot:

- Minimum: 3
- Lower Quartile (Q1): 14
- Median (Q2): 23
- Upper Quartile (Q3): 29
- Maximum: 40

In a box plot:

- The left whisker extends from the minimum (3) to the lower quartile (14).
- A box is drawn from the lower quartile (14) to the upper quartile (29), with a line inside the box at the median (23).
- The right whisker extends from the upper quartile (29) to the maximum (40).

Now, looking at these specifications, identify which of the box plots (mc022-1.jpg, mc022-2.jpg, mc022-3.jpg, mc022-4.jpg) has:

- A left whisker ending at 14 and a minimum point at 3.
- A box that starts at 14 and ends at 29 with a line that shows the median at 23.
- A right whisker extending from 29 to 40.

You should select the box plot that meets all these criteria. If you can describe the box plots shown, I can help you narrow down the correct one.