Question

sofia is learning to play the trumpet. her teacher asked her to record how long she practices each day. trumpet practice (min.): 10 20 15 30 15 15 20 20 10 25 35. which box plot represents the data?

Explanation:

Step1: Arrange data in ascending order

10, 10, 15, 15, 15, 20, 20, 20, 25, 30, 35

Step2: Find the minimum value

The minimum value is 10.

Step3: Find the first - quartile ($Q_1$)

There are 11 data points. The position of $Q_1$ is $\frac{11 + 1}{4}=3$. So $Q_1 = 15$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{11+1}{2}=6$. So $Q_2 = 20$.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $\frac{3(11 + 1)}{4}=9$. So $Q_3 = 25$.

Step6: Find the maximum value

The maximum value is 35.

A box - plot has a whisker from the minimum value (10) to $Q_1$ (15), a box from $Q_1$ (15) to $Q_3$ (25) with a line at the median ($Q_2 = 20$) inside the box, and a whisker from $Q_3$ (25) to the maximum value (35).

Answer:

The box - plot with a whisker starting at 10, the box starting at 15, the line inside the box at 20, the box ending at 25 and the whisker ending at 35.