Question

unit test: concepts in statistics
concepts in statistics
: concepts in statistics
gress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
which of the following statements about the box - and - whisker plot below is not true?
box - and - whisker plot image with number line from 10 to 150

• both 25 and 145 are values in the set of data.
• the midrange of the data set shown is 85.
• the midrange of the data set shown is 55.
• there are the same number of data points in the upper two quartiles and the two lower quartiles.

Explanation:

Step1: Identify min and max

From the box plot, min = 25, max = 145.

Step2: Calculate midrange

Midrange = $\frac{\text{min} + \text{max}}{2} = \frac{25 + 145}{2} = 85$.

Step3: Evaluate statements

• 25 (min) and 145 (max) are data values: true.
• Midrange = 85: true.
• Midrange = 55: false.
• Each quartile has ~25% data: upper/lower two quartiles each ~50%: true.

Answer:

The midrange of the data set shown is 55.