8-3 Reading & Creating Box & Whisker Plots

We will separate the data into 4 quarters (quartiles) by finding the median. Then finding the median of each half. (lower and upper quartiles)

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4 Quartiles

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Reading & Creating Box & Whisker Plots

​Box Plots divide data into 4 equal groups or quarters.

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These are called quartiles. ​

​Minimum=5

Lower Quartile=10​

Median=17​

Upper Quartile=20

Maximum=32

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Multiple Choice

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Multiple Choice

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• Lower and Upper Quartiles

Multiple Choice

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Multiple Choice

What data value is the upper quartile (Q3)?

• 64

• 62

• 66

• 58

Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What is the maximum value?

• 64

• 58

• 66

• 60

Multiple Choice

What are your numbers ordered from least to greatest? (12, 8, 22, 34, 15, 18, 4, 11, 17, 34)

• 4, 8, 11, 12, 15, 17, 18, 22, 34, 34

• 34, 34, 22, 18, 17, 15, 12, 11, 8, 4

• 8, 11, 12, 15, 17, 18, 22, 34

• 4, 8, 11, 15, 16, 18, 22, 24

Multiple Select

What is the minimum and maximum? (Choose two answers)

4, 8, 11, 12, 15, 17, 18, 22, 34, 34

• 4

• 12

• 34

• 8

• 11

Multiple Choice

Now lets find the median, what do you do to find it?

• Cross off my numbers in pairs until I get one or two in the middle

• Add all of my numbers together

• Find the most common one

• Subtract the largest and smallest

Multiple Choice

We have two numbers in the center, what do we do to find the median?

• Nothing, we have two medians

• Add them and divide by 2

• We choose the one we like the most

Fill in the Blank

What is the median? (Your numbers were 15 & 17)

Multiple Choice

Which number is the lower quartile?

4, 8, 11, 12, 15, 17, 18, 22, 34, 34

• 8

• 11

• 12

• 15

Multiple Choice

Which number is the upper quartile?

4, 8, 11, 12, 15, 17, 18, 22, 34, 34

• 17

• 18

• 22

• 34

Multiple Choice

The box and whisker plot is shown for grades on a 6th grade Math test.

Which data set could be represented by the image?

• 71, 72, 73, 74, 75, 78, 80, 82, 84, 85, 86, 90, 91, 91, 95, 96, 98, 100

• 68, 69, 71, 75, 78, 80, 81, 82, 83, 86, 90, 91, 93, 95, 96, 97, 98

• 71, 72, 73, 74, 75, 78, 80, 81, 82, 83, 86, 90, 91, 91, 95, 96, 98, 100

• 68, 69, 71, 75, 78, 80, 82, 84, 85, 86, 90, 91, 93, 95, 96, 97, 98

Range: Maximum minus minimum

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Interquartile Range: upper quartile minus lower quartile​

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Box Plots

Multiple Choice

The box and whisker plot is shown for grades on a 6th grade Math test.

What is the range for the data set?

• 15

• 17

• 20

• 30

Multiple Choice

The box and whisker plot is shown for grades on a 6th grade Math test.

What is the interquartile range for the data set?

• 15

• 17

• 20

• 30