Data Distribution (Graphs)

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