Question

the data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 represents the number of hours spent on the internet in a week by students in a mathematics class. which box - and - whisker plot represents the data?

Explanation:

Step1: Find the minimum value

The minimum value of the data - set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 is 5.

Step2: Find the first - quartile (Q1)

There are \(n = 15\) data points. The position of Q1 is \(\frac{n + 1}{4}=\frac{15+1}{4}=4\). So, Q1 is the 4th ordered data - point, which is 8.

Step3: Find the median (Q2)

The position of the median is \(\frac{n + 1}{2}=\frac{15 + 1}{2}=8\). So, the median Q2 is 10.

Step4: Find the third - quartile (Q3)

The position of Q3 is \(\frac{3(n + 1)}{4}=\frac{3\times(15 + 1)}{4}=12\). So, Q3 is the 12th ordered data - point, which is 17.

Step5: Find the maximum value

The maximum value of the data - set is 19.

The box - and - whisker plot has a left - whisker starting at 5, the left - side of the box at 8, the line inside the box at 10, the right - side of the box at 17, and the right - whisker ending at 19.

Answer:

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