Box and whisker

Box and whisker

To make a box and whisker chart, we must find 5 reference points: the median and 4 quartiles

• Q1 - lowest number

• Q2 - median of left side

• Median

• Q3 - median of right side

• Q4 - Highest number

Multiple Choice

Find the median

• 9

• 6

• 8

• 5

Multiple Choice

Find Q1, the lowest number

• 1

• 4

• 0

• 9

Multiple Choice

Find Q4, the largest number

• 1

• 6

• 8

• 10

We have now found 3 out of 5 of the reference points

Almost finished!

Find Q2

To find Q2, find the median of the left side

Multiple Choice

What is the median of the left side only?

• 1

• 6

• 4

• 9

Find Q3

To find Q3, find the median of the right side

Multiple Choice

What is the median of the right side only?

• 1

• 6

• 4

• 9

We did it!

• Q1 = 0

• Q2 = 1

• Median = 6

• Q3 = 9

• Q4 = 10

Putting it all together

Plot all 5 of the points on a number line, the middle 3 make the 'box' the outer 2 make the 'whiskers'

Let's try one more!

Multiple Choice

Find the median

• 12

• 7

• 5

• 6

Multiple Choice

Find Q1, the lowest number

• 3

• 2

• 8

• 12

Multiple Choice

Find Q4, the largest number

• 3

• 2

• 8

• 12

We have now found 3 out of 5 of the reference points

Almost finished!

Find Q2

To find Q2, find the median of the left side

Multiple Choice

What is the median of the left side only?

• 7

• 8

• 3.5

• 3

Find Q3

To find Q3, find the median of the right side

Multiple Choice

What is the median of the right side only?

• 7

• 8

• 3

• 9

We did it!

• Q1 = 2

• Q2 = 3

• Median = 5

• Q3 = 8

• Q4 = 12

Putting it all together

Plot all 5 of the points on a number line, the middle 3 make the 'box' the outer 2 make the 'whiskers'