The following is a set of data from a sample of
n=6.
7 4 9 7 3 16
a. Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range.
b. List the five-number summary.
c. Construct a boxplot and describe the shape.
a. The first quartile is
The third quartile is
The interquartile range is
b. The five-number summary is
(Use ascending order.)
c. Which of the following is the correct boxplot?
A.
A boxplot has a horizontal axis labeled from negative 1 to 21 in increments of 1. Vertical line segments are drawn at the following values: 3, 4, 7, 9, 16. A box encloses the vertical line segments at 4, 7, and 9, and horizontal line segments extend outward from both sides of the box to dashed vertical line segments at 3 and 16. All values are approximate.
B.
A boxplot has a horizontal axis labeled from negative 1 to 21 in increments of 1. Vertical line segments are drawn at the following values: 4, 6, 10, 13, 15. A box encloses the vertical line segments at 6, 10, and 13, and horizontal line segments extend outward from both sides of the box to dashed vertical line segments at 4 and 15. All values are approximate.
C.
A boxplot has a horizontal axis labeled from negative 1 to 21 in increments of 1. Vertical line segments are drawn at the following values: 3, 10, 12, 15, 16. A box encloses the vertical line segments at 10, 12, and 15, and horizontal line segments extend outward from both sides of the box to dashed vertical line segments at 3 and 16. All values are approximate.
What is the shape of the data?
A. Perfectly symmetric
B. Slightly right-skewed
C. Slightly left-skewed