QUIZ ////2-27-25

Match

Match the following visuals with their appropriate name?

Boxplot

Histogram

Dotplot

• Boxplot

• Histogram

• Dotplot

Multiple Choice

Which stem and leaf plot best represents the data in the line plot?

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Which class has the higher test score median? 

• Class #1
• Class # 2 
• The medians are equal
• The median is not shown here. 

Multiple Choice

Which data set shows a greater spread?

• Chess Club
• Checkers Club
• They have the same spread.
• You cannot tell from the box plots. 

Multiple Choice

Compare the centers and spreads. 

•  Math has a higher median (center) and a wider spread.
•  Math has a higher median (center) and a smaller spread.
• Math has a lower median (center) and a smaller spread.
• Math has a lower median (center) and a wider spread.

Multiple Choice

50% of the Cruisers attended between 7 and 16 car shows.  True or False?

• True
• False

Multiple Choice

Which city has a minimum value that is lower?

• Millersburg
• Arcandia

Multiple Choice

What percent of students have a height between 58 inches and 60 inches?

• 25%
• 50%
• 75%
• 100%

Multiple Choice

Which interval has the highest frequency?

• 9 - 10 books
• 7-8 Books
• 5-6 Books
• 3-4 Books

Multiple Choice

When data seems to be "gathered" around a particular value or values.

• Symmetry
• Gap
• Cluster
• Peak

Multiple Choice

The winter of 2015 was the coldest one on record for several cities in Michigan.   The chart below   shows the low temperatures for some cities in February. Which city had the warmest temperature?

• Detroit
• Flint
• Lansing
• Ann Arbor

Multiple Choice

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

• Top plot
• Bottom plot

Multiple Choice

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

• Top plot
• Bottom plot

Multiple Choice

Which city has a higher median?

• Millersburg
• Arcadia

Multiple Choice

Which box and whisker plot has the highest median?

• A. Top plot
• B. Bottom plot

Multiple Choice

Which class did better on the Algebra test?

• Class 1
• Class 2
• Not enough information
• Can't tell

Multiple Choice

Which interval shows the greatest number of pets?

• 15-19

• 0-4

• 5-9

• 10-14

Multiple Choice

True or False? Over 50% of the students watch between 5 and 14 hours of television on the weekend?

• TRUE

• FALSE

Multiple Choice

The data display above is misleading. What do you think is the best data display for replacing the bar graph above?

• Line Graph

• Histogram

• Pie Chart

• The graph is already appropriate for the data given

Multiple Select

Group A and Group B were randomly sampled from the same population. Which statements below are true? Select all that apply.

• Group A has a greater median than Group B

• Group A has a greater range than Group B

• Group A has greater variability than Group B

• Group B has a greater median than Group A

• You cannot tell which group has the greater median based on the picture.

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

Which box and whisker plot has the highest median?

• Top plot
• Bottom plot

Data Distribution
How can we describe the data model in a dot plot, box plot, or histogram?

There are seveal ways we can describe the shape of a data distribution.

The most common terms that we will use are Symmetrical
Right/Left Skewed
and Uniform

If you were to fold the data at the median, the data would almost match.

Symmetrical

There is a tail on the right side where data drops.

Right Skewed

There is a tail on the left side where data drops.

Left Skewed

​The data values are consistent throughout.

Uniform

The data is distributed evenly. The mean and median and both found very near the center.

​​Symetrical

Tail on the right side. Data is heavily found on the left side. Median and Mean are pulled left (lesser).

Right Skewed

Tail on the left side. Data is heavily found on the right side. Median and mean are pulled right (greater)

Left Skewed

Multiple Choice

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Choice

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Select

What is shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Choice

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Choice

What is the shape of the distribution?

• Skewed Left

• Skewed Right

• Symmetric

• Bimodal

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM 
• SYMMETRICAL

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

​Areas were data is not present

Gaps

Also the Mode of the data set. The highest point.

​​Peaks

​The area where data is heavily concentrated.
You can have multiple clusters.
**This example) The cluster is from 0 - 30.

Clusters

Find the range of the data set.
High - Low - Range.

This Example) 76 - 65 = a spread of 11.

​​Spread

Data values that are found far from the others.
Outliers can heavily impact your mean.

This example has an outlier of 21.

Outliers

Multiple Choice

Which statement best describes this graph?

• There is a peak at 47.

• There is a cluster around 38-40.

• The mode is 40.

• There is a gap in the data between 39-40.

Multiple Choice

Which statement best describes this graph?

• There is a peak at 2.

• There is a gap in the data.

• Most people own 1 pet.

• There is no mode.

Multiple Choice

Which statement best describes the graph?

• The data is skewed left.

• The data is symmetrical.

• There is a peak between 10 and 14 hours.

• There is a cluster between 5 and 9

Multiple Choice

What is the spread of the data?

• 4

• 10

• 19

• 9

Multiple Choice

Where is the gap in the data?

• between 23 and 25

• between 17 and 20

• at 18

• at 22