Quinn measured the heights of several books on his bookshelf. He drew a box and whisker plot to look at the data set.

Complete the five-number summary.
What percent of the books are shorter than 8 inches? What percent of the books are taller than 8 inches?
The middle 50% of the books is between what heights?
Are more books between 8 and 9 inches tall or between 9 and 12 inches tall?
<0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20>

To find the five-number summary, we need to identify the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

1. Minimum: The minimum value is 0 inches, which is the lower boundary of the data set.
2. First quartile (Q1): The first quartile represents the lower boundary of the middle 50% of the data. In this case, the value of the first quartile is 4 inches.
3. Median (Q2): The median is the middle value of the data set when it is ordered from smallest to largest. In this case, the median value is 9 inches.
4. Third quartile (Q3): The third quartile represents the upper boundary of the middle 50% of the data. The value of the third quartile is 13 inches.
5. Maximum: The maximum value is 20 inches, which is the upper boundary of the data set.

So, the five-number summary is: Minimum = 0, Q1 = 4, Median = 9, Q3 = 13, Maximum = 20.

To determine the percentage of books shorter than 8 inches and taller than 8 inches, we need to look at the box and whisker plot. However, since the plot is not provided, we cannot provide an exact answer.

To find the percentage of books shorter than 8 inches:
1. Count the number of books on the left side of the plot that are less than 8 inches.
2. Divide this count by the total number of books on the plot (if given).
3. Multiply the result by 100 to get the percentage.

Similarly, to find the percentage of books taller than 8 inches:
1. Count the number of books on the right side of the plot that are greater than 8 inches.
2. Divide this count by the total number of books on the plot (if given).
3. Multiply the result by 100 to get the percentage.

To determine the heights between which the middle 50% of the books lie, we can look at the box in the box and whisker plot. The lower boundary of the box represents the first quartile (Q1) value, and the upper boundary represents the third quartile (Q3) value. In this case, the middle 50% of the books are between 4 inches and 13 inches.

To determine whether more books are between 8 and 9 inches tall or between 9 and 12 inches tall, we need the plot to compare the frequencies of the two intervals.