you have been asked to represent this data in a box plot. answer the following questions: complete the table…

Explanation:

Step1: Arrange data in ascending order

4, 16, 16, 20, 32, 36, 40, 44, 60

Step2: Find the minimum

The minimum value is the smallest number in the data - set. Minimum = 4

Step3: Find the maximum

The maximum value is the largest number in the data - set. Maximum = 60

Step4: Find the median

There are n = 9 data points. The median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{9+1}{2}=5$ - th value. Median = 32

Step5: Find the lower half of data

The lower half of the data is 4, 16, 16, 20.

Step6: Find the lower quartile

There are n = 4 data points in the lower half. The lower quartile is the median of the lower - half. $\frac{4 + 1}{2}=2.5$ - th value. Lower Quartile=$\frac{16+16}{2}=16$

Step7: Find the upper half of data

The upper half of the data is 36, 40, 44, 60.

Step8: Find the upper quartile

There are n = 4 data points in the upper half. The upper quartile is the median of the upper - half. $\frac{4+1}{2}=2.5$ - th value. Upper Quartile=$\frac{40 + 44}{2}=42$

Answer:

Minimum: 4 Lower Quartile: 16 Median: 32 Upper Quartile: 42 Maximum: 60