Question

marie made the box plot below to display a set of data. which set of data could the box plot represent?

Explanation:

Step1: Analyze Box Plot Components

A box plot shows minimum, Q1, median, Q3, maximum. From the plot: min ≈35? Wait, no, axis: 0 to 40, ticks at 5,10,15,20,25,30,35,40. Wait, the whiskers: lower whisker to ~35? No, wait the dots: the bottom whisker end at ~35? Wait no, the vertical axis: 0 (top), 40 (bottom)? Wait no, arrow up is 0 to 40? Wait the left axis: 0 at top, 40 at bottom? Wait the box: Q1 (lower box) at 25, median at 15, Q3 (upper box) at 10, upper whisker to 5, lower whisker to 35. Wait, that would mean data points: min=35, Q1=25, median=15, Q3=10, max=5? That can't be. Wait maybe axis is reversed? Maybe 0 at bottom, 40 at top? Let's re-express: if 0 is bottom, 40 top. Then the box: lower whisker (min) at ~5, Q1 at 10, median at 15, Q3 at 25, max at 35. Yes, that makes sense (min ≤ Q1 ≤ median ≤ Q3 ≤ max). So min≈5, Q1≈10, median≈15, Q3≈25, max≈35.

Step2: Identify Data Set

We need a data set with min ~5, Q1 ~10, median ~15, Q3 ~25, max ~35. Let's check possible data. For example, data like [5,10,15,25,35] or a set with those five-number summary. So the box plot represents a data set with minimum around 5, first quartile ~10, median ~15, third quartile ~25, maximum ~35.

Answer:

A data set with five - number summary (minimum, Q1, median, Q3, maximum) approximately equal to 5, 10, 15, 25, 35 (e.g., a set like [5, 10, 15, 25, 35] or similar with those quartiles and extremes) could be represented by this box plot.