Question

bruce helps answer mail for the mayor of pineville. after the mayor visited his towns middle school last week, he received lots of letters from students. bruce kept track of how many student letters he answered every day.
letters from students
4 6 11 8 3 7 3 5 8 4 6
which box - plot represents the data?
letters from students
letters from students

Explanation:

Step1: Order the data

3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 11

Step2: Find the minimum

The minimum value is 3.

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

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

Step4: Find the median

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

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

The position of $Q_3$ is $\frac{3(11 + 1)}{4}=9$. So $Q_3 = 8$.

Step6: Find the maximum

The maximum value is 11.

Answer:

The box - plot with minimum at 3, $Q_1$ at 4, median at 6, $Q_3$ at 8 and maximum at 11 represents the data. (Since no specific options are given in a proper way, this is a general description of the correct box - plot based on the calculated values)