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 box - and - whisker plot represents this data: 6, 9, 13, 13, 18, 22, 22, 25, 26, 28, 30, 30?

Explanation:

Step1: Find the minimum, maximum, median, Q1, and Q3

The data set is \(6,9,13,13,18,22,22,25,26,28,30,30\)

• Minimum: \(6\)
• Maximum: \(30\)
• Number of data points \(n = 12\) (even). Median \(Q_2=\frac{22 + 22}{2}=22\)
• Lower half: \(6,9,13,13,18,22\). \(Q_1=\frac{13+13}{2} = 13\)
• Upper half: \(22,25,26,28,30,30\). \(Q_3=\frac{26 + 28}{2}=27\)

Step2: Analyze the box - and - whisker plot components

A box - and - whisker plot has a box from \(Q_1\) to \(Q_3\) with a line at the median \(Q_2\), and whiskers from the minimum to \(Q_1\) and from \(Q_3\) to the maximum.
The first option (assuming the first circle - associated plot) has \(Q_1\approx10\) (incorrect), the second option has \(Q_2\approx20\) (incorrect), the third option has \(Q_1 = 13\), \(Q_2=22\), \(Q_3 = 27\), minimum \(6\), maximum \(30\) (correct), the fourth option (if there was a scale mis - match) is incorrect.

Answer:

The third box - and - whisker plot (the one with \(Q_1 = 13\), \(Q_2=22\), \(Q_3 = 27\), minimum \(6\), maximum \(30\))