dominic works at the local swimming pool. he recorded the number of swimmers each day for the past few…

dominic works at the local swimming pool. he recorded the number of swimmers each day for the past few days.\nnumber of swimmers\n50 80 70 83 90 82 72 60 91 74 100\nwhich box plot represents the data?\nnumber of swimmers\nnumber of swimmers

dominic works at the local swimming pool. he recorded the number of swimmers each day for the past few days.\nnumber of swimmers\n50 80 70 83 90 82 72 60 91 74 100\nwhich box plot represents the data?\nnumber of swimmers\nnumber of swimmers

Answer

Explanation:

Step1: Arrange data in ascending order

50, 60, 70, 72, 74, 80, 82, 83, 90, 91, 100

Step2: Find the minimum value

The minimum value is 50.

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

There are $n = 11$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=\frac{11+ 1}{4}=3$. So $Q_1 = 70$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So $Q_2=80$.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(11 + 1)}{4}=9$. So $Q_3=90$.

Step6: Find the maximum value

The maximum value is 100.

A box - plot has a left - most whisker at the minimum value (50), the left side of the box at $Q_1$ (70), the line inside the box at the median $Q_2$ (80), the right side of the box at $Q_3$ (90), and the right - most whisker at the maximum value (100).

Answer:

The box - plot with the left - most whisker at 50, the left side of the box at 70, the line inside the box at 80, the right side of the box at 90, and the right - most whisker at 100.