Question

Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the maximum, minimum, and quartiles

Answer 1

• 0, 4, 7, 9, 11

Explanation:

Given

• 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7

To find

• List 5 points of box and whisker plot

Solution

Step 1

Putting the data in the order from smallest to greatest:

• 0, 1, 4, 5, 6, 7, 8, 9, 9, 9, 11

Step 2

• The minimum and maximum = 0 and 11
• Medium quartile is the middle number ⇒ Q2 = 7
• First quartile = middle of the lower part ⇒ Q1 = 4
• Third quartile = middle of the highest part ⇒ Q3 = 9

So the 5 numbers are:

• 0, 4, 7, 9, 11