Question

1. the box - and - whisker plot shown below represents the number of magazine subscriptions sold by members of a club. which statistical measures do points b, d, and e represent, respectively? 1) minimum, median, maximum 3) first quartile, third quartile, maximum 2) first quartile, median, third quartile 4) median, third quartile, maximum 10. the box - and - whisker plot below represents the

Explanation:

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

• Point B is at the left end of the box, so it should be the first quartile? Wait, no, wait. Wait, actually, in a box - and - whisker plot, the five - number summary is minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), maximum. The box is drawn from $Q_1$ to $Q_3$, with a line inside the box at the median. The whiskers go from minimum to $Q_1$ and from $Q_3$ to maximum. Wait, looking at the plot:
• The left whisker starts at some point, then the box starts. Let's label the parts:
• The minimum is the leftmost point of the whisker.
• $Q_1$ (first quartile) is the left end of the box.
• Median is the line inside the box.
• $Q_3$ (third quartile) is the right end of the box.
• Maximum is the rightmost point of the whisker.

In the given plot:

• Point B: Let's see the positions. The box starts, and B is at the left part of the box? Wait, no, the options: Let's analyze the options.

Option 4: median, third quartile, maximum. Let's check:

• In a box - and - whisker plot, the median is the line inside the box (or the middle line of the box). Then the third quartile is the right end of the box, and the maximum is the end of the right whisker.
• So point B: if it's the median (the middle line of the box), point D: the right end of the box (third quartile), point E: the end of the right whisker (maximum). That matches option 4.
• Let's eliminate other options:
• Option 1: minimum, median, maximum. But B is not the minimum (the minimum would be the leftmost whisker point, not B).
• Option 2: first quartile, median, third quartile. But E is not the third quartile (E is the end of the whisker, so maximum).
• Option 3: first quartile, third quartile, maximum. But B is not the first quartile (if B were first quartile, the median would be inside the box, but the option says B is first quartile, D is third quartile, E is maximum. But the median is missing. So option 4 is correct.

Answer:

1. median, third quartile, maximum