Quartile and Box Plot

11.1 Box Plots

Calculator Tools

• Open Desmos

• Click Functions > Click Stats > Click Median

• Find the median of the following data set: 22, 23, 19, 18, 25, 21

Let's draw a box and whisker plot

Quartiles

• Box plots consist of 4 parts

• Each part represents 25% of the data

• How much of the data is between 14 - 21?

Interquartile Range (IQR)

• Q3 - Q1 (right edge of the box - left edge of the box)

•  $76-68=8$  

Multiple Choice

Which 5 number summary matches the box plot?

Fill in the Blanks

What is the IQR of the box plot?

Multiple Choice

The box plot shows the distribution of scores on a math test. Which score was greater than or equal to 75% of all scores?

• 100

• 90

• 65

• 70

Multiple Choice

The box plot shows finishing times for a local 5K race. Between what times do 75% of the runners finish?

• 14 - 26 minutes

• 14 - 21 minutes

• 12 - 26 minutes

• 21 - 26 minutes