Question

Use the box plot to answer the question. A box plot with sides of the box at A, 4, and C, 10. The box is split at B, 7. The whiskers join A to a point at 1 and C to a point at 12.© 2018 StrongMind. Created using GeoGebra. Which answer choices correctly describe the points labeled A, B, and C in the box plot?Select three answers. Select one answer for point A, one answer for point B, and one answer for point C.Point C represents the median.Point C represents the median. , ,Point C represents Q1.Point C represents , ,Point B represents Q3.Point B represents , ,Point B represents Q1.Point B represents , ,Point A represents the median.Point A represents the median. , ,Point B represents the median.Point B represents the median. , ,Point C represents Q3.Point C represents , ,Point A represents Q3.Point A represents , ,Point A represents Q1.

Answer 1

In the box plot given, the statements that correctly describe the labelled points are: Point A represents Q1; Point B represents the median; Point C represents Q3.

What is the Lower Quartile, Upper quartile and median in a box plot?

In a box plot, the Lower Quartile (Q1) is the 25th percentile (which is the data value at the beginning of the rectangular box, the Median (Q2) is the 50th percentile (which is the value at the line that divides the rectangular box, and the Upper Quartile (Q3) is the 75th percentile (which is indicated by the value at the end of the edge of the box).

Therefore, based on the image given, we can conclude that:

• Point A represents Q1
• Point B represents the median
• Point C represents Q3

Answer 2

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Therefore,

The point A represents the first quartile, Q₁.

The point B represents the median, Q₂

The point C represents the third quartile, Q₃.