Question

the following box plot represents the test percentage scores of mrs. bins sixth - grade class.
0 20 30 40 50 60 70 80 90 100
which of the following statements, based on the box plot, are true? select three that apply.
a. the median of the scores in mrs. bins sixth - grade class is 60%.
b. the lowest score on mrs. bins test was about 45%.
c. the highest score on mrs. bins test was 85%.
d. half of the students scores on mrs. bins test were above 60%.

Explanation:

Step1: Analyze Option A

In a box plot, the median is represented by the line inside the box. From the plot, the middle line of the box is at 60, so the median is 60%. So A is true.

Step2: Analyze Option B

The leftmost whisker (minimum value) starts around 25? Wait, no, looking at the axis: the left end of the whisker is at 25? Wait, the axis is 0,20,30,40,50,60,70,80,90,100. Wait, the left whisker starts at 25? Wait, no, maybe I misread. Wait, the first mark after 20 is 30? Wait, the user's box plot: the left whisker starts at 25? Wait, no, the problem says "about 45%". Wait, no, maybe the left end is at 25? Wait, no, let's re - examine. Wait, the x - axis is 0,20,30,40,50,60,70,80,90,100. The left whisker (minimum) is at 25? No, maybe the first tick is 0, then 20, 30, 40, etc. Wait, maybe the left end is at 25? Wait, no, the option B says "about 45%". Wait, maybe I made a mistake. Wait, the box plot: the left whisker (minimum) is at 25? No, perhaps the left end is at 25, but the option B says 45. Wait, no, maybe the x - axis is labeled with 0,20,30,40,50,60,70,80,90,100. The left whisker (minimum) is at 25? No, maybe the first non - zero mark is 20, then 30, etc. Wait, maybe the left end is at 25, but the option B says 45. Wait, no, perhaps I misread the box plot. Wait, the box plot: the left whisker (minimum) is at 25? No, let's think again. The box plot has a left whisker, then the box. The left end of the whisker (minimum) is at 25? No, maybe the x - axis is 0,20,30,40,50,60,70,80,90,100. So the left whisker starts at 25? No, maybe the minimum is 25, but option B says 45. Wait, this is confusing. Wait, maybe the correct approach is: in a box plot, the minimum is the left end of the whisker. Let's assume that the left end of the whisker is at 25, but option B says 45. Wait, no, maybe the x - axis is marked with 0,20,30,40,50,60,70,80,90,100, and the left whisker starts at 25 (between 20 and 30), but option B says 45 (between 40 and 50). So B is wrong? Wait, no, maybe I made a mistake. Wait, the problem says "Select THREE that apply". Let's check other options.

Step3: Analyze Option C

The rightmost whisker (maximum) is at 85 (between 80 and 90), so the highest score is 85%. So C is true.

Step4: Analyze Option D

The median is 60%, so half of the data is above the median (60%) and half is below. So D is true.

Wait, maybe I made a mistake with option B. Let's re - evaluate. The left whisker (minimum) is at 25? No, maybe the x - axis is 0,20,30,40,50,60,70,80,90,100, and the left end of the whisker is at 25 (between 20 and 30), but option B says 45 (between 40 and 50). So B is wrong. But the problem says to select three. So A, C, D? Wait, no, maybe the left end is at 45. Let's assume that the left whisker starts at 45 (between 40 and 50). Then B is true. So if B is true, then A, B, C, D? No, the problem says select three. Wait, let's re - check:

- A: Median is 60 (the line in the box is at 60) → True.
- B: Lowest score (left end of whisker) is about 45 → If the left whisker starts at 45 (between 40 and 50), then B is True.
- C: Highest score (right end of whisker) is 85 → True.
- D: Half above 60 (median) → True. But the problem says select three. There must be a mistake in my analysis. Wait, maybe the median is not 60? Wait, the box is split into two parts at 60, so the median is 60. So A is true. The left whisker: if the left end is at 25, then B is false. But the problem says select three. So maybe B is true, C is true, D is true, and A is true? No, the problem says select three. Wait, perhaps the left end is at 45 (so B is true), the right end at 85 (C is true), median at 60 (A is true), and half above 60 (D is true). But that's four. So maybe my initial analysis is wrong. Wait, maybe the median is not 60. Wait, the box is from, say, 50 to 70, with the median line at 60. So A is true. The left whisker: from 25 to 50? No, the box starts at 50? Wait, no, the box plot: the box has a left edge, a median line, and a right edge. Let's assume the box is from 50 to 70, median at 60. The left whisker is from 25 to 50, and the right whisker is from 70 to 85. Then:

- A: Median is 60 → True.
- B: Lowest score is 25, not 45 → False.
- C: Highest score is 85 → True.
- D: Half above 60 (median) → True.

So A, C, D are true.

Answer:

A. The median of the scores in Mrs. Bin's sixth - grade class is 60%.
C. The highest score on Mrs. Bin's test was 85%.
D. Half of the students' scores on Mrs. Bin's test were above 60%.