Question

1. the data below shows how many pages 15 students read during english class. 8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24. which boxplot correctly displays this data?

Explanation:

Step1: Find the minimum value

The minimum value of the data - set 8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24 is 8.

Step2: Find the first quartile (Q1)

The data - set has n = 15 values. The position of Q1 is $\frac{n + 1}{4}=\frac{15+1}{4}=4$. So, Q1 is the 4th value in the ordered data - set, which is 11.

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 the 8th value in the ordered data - set, which is 14.

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 value in the ordered data - set, which is 18.

Step5: Find the maximum value

The maximum value of the data - set is 24.

A box - plot has a box from Q1 to Q3 with a line at the median, and whiskers from the box to the minimum and maximum values.

Answer:

To accurately answer which box - plot is correct, we would need to see the options. But based on the calculations above, the box should start at 11, end at 18, have a line inside the box at 14, and whiskers extending to 8 and 24.