Question

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 true? there are more data points in the upper two quartiles than in the lower two quartiles. there are more data points inside the data box than are in the outside the data box. the midrange of the data set shown is 55. the midrange of the data set shown is 85.

Explanation:

Step1: Understand box - and - whisker plot properties

In a box - and - whisker plot, each quartile (lower, middle, upper) contains 25% of the data. So the number of data points in the upper two quartiles (50% of data) is equal to the number of data points in the lower two quartiles (50% of data). Also, the box contains 50% of the data and the whiskers (outside the box) contain 50% of the data.

Step2: Calculate midrange

The formula for midrange is \(MR=\frac{\text{Minimum}+\text{Maximum}}{2}\). From the box - and - whisker plot, the minimum value is \(40\) and the maximum value is \(150\). Then \(MR = \frac{40 + 150}{2}=\frac{190}{2}=85\)

Answer:

The midrange of the data set shown is 85.