marie made the box plot below to display a set of data. which set of data could the box plot represent? 5…

Explanation:

Step1: Identify key - points of box - plot

The minimum value of the box - plot is around 5, the first quartile ($Q_1$) is around 10, the median ($Q_2$) is around 15, the third quartile ($Q_3$) is around 25, and the maximum value is around 35.

Step2: Check each data set

For the first data set: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35. - Minimum = 5 - To find $Q_1$: There are 11 data points. The position of $Q_1$ is $\frac{11 + 1}{4}=3$. So $Q_1 = 10$. - Median position: $\frac{11+1}{2}=6$, so median $=15$. - $Q_3$ position: $3\times\frac{11 + 1}{4}=9$, so $Q_3 = 25$. - Maximum = 35. This data set matches the box - plot. For the second data set: 5, 10, 15, 20, 25, 30, 35. There are 7 data points. It doesn't have enough data to accurately represent the quartiles as in the box - plot. For the third data set: 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40. The minimum is 0 which doesn't match the box - plot starting at 5. For the fourth data set: 0, 5, 10, 15, 25, 35, 40. There are 7 data points. It doesn't have enough data to accurately represent the quartiles as in the box - plot and the minimum is 0 which doesn't match.

Answer:

5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35