How are box and whiskeGiven the following box-and-whisker plot, which statements are true? Select all that apply.
A box-and-whisker plot.
A boxplot has a vertical axis labeled Number of Hospitals from 0 to 250 in increments of 50. Horizontal line segments are drawn at the following values: 10, 130, 170, 190, 210. A box encloses the horizontal line segments at 120, 170, and 190, and vertical line segments extend outward from both sides of the box to the horizontal line segments at 10 and 210. All values are approximate.
Select all that apply:
Approximately 50% of the data lies between 0 and 100.
There is a potential outlier in the lower half of the data set.
The interquartile range is approximately 190−130=60.
The median is approximately 175.
Answers
Answer:
Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. They also show how far the extreme values are from most of the data. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them.
To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box. Approximately the middle 50 percent of the data fall inside the box. The “whiskers” extend from the ends of the box to the smallest and largest data values. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The box plot gives a good, quick picture of the data.