Question

Use the image to answer the question.

An illustration shows a number line ranging from 19 to 29 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 22 to 24 and the second box extends from 24 to 26. A line extends from 19 to the left side of the first box. Another line extends from the right side of the second box to 29.

The dataset for this box plot is 19, 21, 23, 25, 27, 29. What is the error on the box plot

Answer 1

The box edges (Q1 and Q3) are wrong. For 19, 21, 23, 25, 27, 29:

- Median = (23+25)/2 = 24
- Q1 = median of (19,21,23) = 21
- Q3 = median of (25,27,29) = 27

So the box should span 21 to 27 (median 24); the plot incorrectly shows 22 to 26.