Question

1. first quartile, median, third quartile 4) median, third quartile, maximum
2. the box - and - whisker plot below represents the results of tests scores in a math class.

what do the scores 65, 85, and 100 represent?

1. $q_1$, median, $q_3$ 3) median, $q_1$, maximum
2. $q_1$, $q_3$, maximum 4) minimum, median, maximum

Explanation:

Step1: Recall box - and - whisker plot components

In a box - and - whisker plot, the box has three main parts: the left side of the box is the first quartile ($Q_1$), the line inside the box is the median, and the right side of the box is the third quartile ($Q_3$). The whiskers extend from the box to the minimum (the smallest data value) and the maximum (the largest data value).

Step2: Analyze the given scores and plot

• The score 65: Looking at the box - and - whisker plot, the left side of the box (first quartile $Q_1$) should correspond to 65.
• The score 85: The right side of the box (third quartile $Q_3$) should correspond to 85.
• The score 100: The end of the right whisker (the maximum value of the data set) should correspond to 100.

Now let's analyze the options:

• Option 1: Says $Q_1$, median, $Q_3$. But 85 is not the median (the median is inside the box), so this is wrong.
• Option 2: Says $Q_1$, $Q_3$, maximum. 65 is $Q_1$, 85 is $Q_3$, and 100 is the maximum. This matches our analysis.
• Option 3: Says median, $Q_1$, maximum. 65 is not the median, 85 is not $Q_1$, so this is wrong.
• Option 4: Says minimum, median, maximum. 65 is not the minimum (the minimum is at 20), so this is wrong.

Answer:

1. $Q_1$, $Q_3$, maximum