Question

The accompanying dotplot shows the distribution of the' heights (in feet) of a sample of roller coasters. The five-number summary of the data is given in the following table. Sketch a boxplot of thedata. Explain how you determined the length of the whiskers.

Answer 1

The minimum value is less than the left limit of 8.014, so the left whisker is drawn to the minimum. The maximum value is greater than the right limit of 32.313 so the right whisker is drawn to the maximum.

Step-by-step explanation:

Step 1. A box and whiskers plot has the following properties:

To the left is the minimum value, to the right is the maximum value, the left and right limits of the box are given by Q1 and Q3 and inside the box, we have M, the median.

Step 2.

In this case:

Step 3. Completing the missing parts of the statement:

The minimum value is less than the left limit of 8.014, so the left whisker is drawn to the minimum. The maximum value is greater than the right limit of 32.313 so the right whisker is drawn to the maximum.

Answer:

The minimum value is less than the left limit of 8.014, so the left whisker is drawn to the minimum. The maximum value is greater than the right limit of 32.313 so the right whisker is drawn to the maximum.