Question

which box plot represents these data? 1) 2) 3) 4)

Explanation:

To solve this, we need to recall that a box - plot consists of a five - number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. But since the original data set is not provided, we assume that we can analyze the spread and the position of the box and whiskers.

Step 1: Analyze the whiskers and box position

• For a box - plot, the length of the whiskers and the position of the box (which contains Q1, median, and Q3) relative to the number line (with marks at 65, 70, 75, 80, 85) should be considered.
• Let's assume that the data has a certain spread. If we look at the options, we need to check the position of the box (the rectangle) and the whiskers (the lines extending from the box).
• Suppose the data has a minimum around 65 - 70, a Q1, median, Q3 in the middle range, and a maximum. If we consider the correct box - plot, we need to check the alignment of the box with the number line.

Step 2: Match the box - plot to the data (assumed)

• Let's assume that the data has a minimum that is relatively low (near 65), a Q1, median, Q3 in the middle, and a maximum. If we look at the options, option 2 has a whisker that extends to 85 (the maximum) and the box is positioned such that it represents the quartiles correctly. If we assume that the data has a wide spread on the upper end (towards 85) and a more concentrated lower end, option 2 would be the correct one.

Answer:

1. The box - plot with the left whisker, a box starting near 70, and the right whisker extending to 85.