Interquartile Range and Box Plot

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Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What is the maximum value?

• 58

• 66

• 64

• 60

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

​Let's Create Your

Box Plots!

​Remember the steps!

1. Put all of the numbers in order: L to G

2. Label your min and max

3. Find the median

4. Find the median of the lower half (Q1)

5. Find the median of the upper half (Q3)

6. Find the IQR!

7. CONGRATULATIONS!!

​Your Box Plots should look like..

Multiple Choice

What percentage of the data is between 90 and 140?

• 25 %

• 50%

• 75%

• 100%

Multiple Choice

What percentage of the data is between 40 and 90?

• 25 %

• 50%

• 75%

• 100%

Multiple Choice

What percent of the data is between 30 and 35 on the number line?

• 25%

• 50%

• 75%

• 100%

Multiple Choice

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

What data value is the upper quartile (Q3)?

• 64

• 62

• 66

• 58

Multiple Choice

Which car club has the higher median?

• Cruisers

• Car Hops

• Neither. Can't determine median from the graph.

Multiple Choice

What is the term for the median of the upper half of the data?

• Upper Quartile

• Lower Quartile

• Median

• Minimum

Multiple Choice

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

• 127

• 155

• 156

• 193

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Multiple Choice

What is the term for the median of the lower half of the data?

• Lower Quartile

• Upper Quartile

• Median

• Maximum

Multiple Choice

What is the interquartile of this data?

• 50

• 90

• 110

• 100

Multiple Choice

If 60 values were used for the data, about how many data values are greater than the 1st quartile?

• 15

• 30

• 45

• 60

Multiple Choice

What is the interquartile range (IQR)?

• 4
• 64
• 60
• 8

Multiple Choice

What is the upper quartile of this data?

• 40

• 90

• 100

• 140

• 150

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot

• Bottom plot

Multiple Choice

Which has a higher median?

• Florida

• Texas

Multiple Choice

Which data set shows students who tend to spend more time on homework per week?

• Finn's Data Set

• Jonah's Data Set

Multiple Select

Mr. Jackson had students grow the same type of plant in two different rooms to test the growing conditions. The results are shown in the box plant. Choose ALL accurate statements below.

• Room 7G has the tallest plant.

• 75% of 7D plants are 8 in. or taller.

• 7G has a greater median height.

• Room 7D has the shortest and tallest plants.

Multiple Choice

Kerron gathers the heights of a random sample of 6th graders and 7th graders and displays the data in box plots. Which statement below is true?

• The median of the 7th grade sample is greater than the 6th grade sample.

• The 7th grade sample has greater variability.

• The ranges of both data samples are equivalent.

• The median of the 6th grade sample is greater than the 7th grade sample.

Multiple Choice

Mykel surveyed 15 7th graders and 15 8th graders at his school to see how many hours they spend per day listening to music. He made two box plots to compare the data sets. What inference can he draw from the data sets?

• The range is greater for the 8th graders, so there is greater variability for the 8th graders than the 7th graders.

• The person who listens to music the least is a 7th grader.

• The median is greater for the 7th graders, so they generally spend more time listening to music than 8th graders.

• No inferences can be made from the box plots.

Multiple Choice

Using the box plot, who spend more time in outdoor activity? Explain.

• Soccer players, because they have a greater range of active minutes outdoors.

• Basketball players, because they have a greater range of active minutes outdoors.

• Soccer players, because they have a greater median of minutes spent outdoors.

• Basketball players, because they have a greater median of minutes spent outdoors.

Multiple Choice

Which has a lower median?

• Florida

• Texas

Multiple Choice

Which has a lower IQR? (Interquartile Range)

• Florida

• Texas

Multiple Choice

What is Florida's median?

• 10

• 15

• 12

• 18

Multiple Choice

Which has the higher median?

• Thanksgiving

• New Years Eve

Multiple Choice

What is Thanksgivings maximum?

• 30

• 15

• 22

• 24

Multiple Choice

Which has a greater median?

• Week 1

• Week 2

Multiple Choice

Which has a lower IQR? (Interquartile Range)

• Week 1

• Week 2

Multiple Choice

True or False: Week 2 median is the same as Week 1 Q3

• False

• True

Multiple Choice

Which has a higher median?

• 6th graders

• 4th graders

Multiple Choice

Which has a greater IQR? (Interquartile Range)

• 6th graders

• 4th graders

Multiple Choice

Which has a lower IQR? (Interquartile Range)

• 6th graders

• 4th graders

Multiple Choice

Which box and whisker plot has the smallest lower quartile?

• Top plot
• Bottom plot

Multiple Choice

Which box and whisker plot shows more "spread out" data?

• Top plot
• Bottom plot

Multiple Choice

Which box and whisker plot has the lowest minimum?

• Top plot

• Bottom plot

Multiple Choice

What is the interquartile range of plot A?

• 6
• 8
• 15
• 28

Multiple Choice

In a box and whisker plot, what is a name for the lowest number (the end of the whisker.)

• Minimum

• Maximum

• Lower Quartile

• First Quartile

Multiple Choice

In a box and whisker plot, what is a name for the highest number (the top end of the whisker.)

• Minimum

• Maximum

• Upper Quartile

• Median

Multiple Choice

How do you find the IQR (Interquartile range)?

• add the five number summary

• subtract the median from the maximum

• subtract the minimum from the maximum

• subtract quartile 1 from quartile 3

Multiple Choice

The "box" contains ALL of the following EXCEPT...

• Maximum

• Quartile 1

• Quartile 3

• Median