Shape and Spread

Skewed Left or Right

• When a distribution is skewed left the mean is less than the median

• When a distribution is skewed right the mean will be more than the median.

Uniform Distribution

• In a uniform distribution, the data values are spread out equally among the intervals.

• The values are the same or close to the same.

• The data is distributed evenly around the mean and the mean and the median are close to the same.

Bell or Symmetrical Distributions

• Symmetrical distributions of data can also be called normal or bell shaped.

• Since their distribution is fairly normal, the mean and the median will be close to the same.

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

Multiple Choice

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

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

Multiple Choice

Describe the shape of the distribution.

• symmetric

• skewed left

• skewed right

Multiple Choice

Describe the shape of the distribution.

• symmetric

• skewed left

• skewed right

Fill in the Blanks

Should we use the mean or the median to represent the center of the data?

Multiple Choice

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

• skewed left

• skewed right

• uniform

• symmetrical

Multiple Choice

Which describes the shape of the distribution?

• skewed right

• skewed left

• symmetric

• uniform

Multiple Choice

Which measure of center will be the smallest?

(Remember which one pulls toward the tail)

• median

• mean

• mode

Multiple Choice

Which measure of spread should be used to describe the distribution?

• standard deviation

• interquartile range

• range

• median

Multiple Choice

Because this distribution is ____________ to the ___________, we would use the ______________ for the center and the _____________ for the spread of the data.

• symmetric, middle, median, IQR

• skewed, left, median, IQR

• skewed, left, mean, IQR

• skewed, right, median, standard deviation

Multiple Choice

The dot plots show the gas mileage, in miles per gallon, for several cars and SUV's. Which type of vehicle has a larger spread?

• cars

• SUVs

Math Response

Given the data:

136, 150, 119, 150, 125, 140.

Find the upper quartile (Q3).

Type answer here

Correct Answer: 150

Deg^°

Rad

Multiple Choice

What is the median for the data set below?

57, 59, 64, 72, 76, 77, 77, 78, 85, 87, 88, 88, 88, 92, 94, 96, 98, 100

• 85

• 86

• 85.5

• 87

Multiple Choice

What percentage of the data is between 90 and 140?

• 25 %
• 50%
• 75%
• 100%

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

Multiple Choice

How would you describe the shape of the data graphed?

• Skewed right
• Skewed left
• Symmetric (bell or normal curve)
• Uniform

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 Select

What is shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Multiple Choice

Which dot plot has a larger spread of data?

• A Set 1

• B Set 2

Multiple Choice

Which dot plot shows a larger spread of data?

• Basketball Players

• Softball Players

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

Study the graph and determine one measure of center and one measure of variability that would best describe the data. (hint: are there outliers?)

• Range

• Median

• Mean

• IQR

Multiple Choice

If there is an Outlier in the set which measure of CENTER would you use?

• Mean

• Median

• IQR

• Range

Multiple Select

Select the (2) measures of CENTER.

• Mean

• Median

• IQR

• Range

Multiple Choice

• the spread of 5th period is greater than 2nd period
• the spread of 2nd period is greater than 5th period
• 5th period is skewed right

Multiple Choice

• only one of the data sets is symmetric
• the median in 1st period is greater than the median in 5th period
• the highest test score is the same in both classes
• the interquartile range is larger in 1st period than in 5th period

Multiple Choice

Standard deviation is a measure of

• spread

• center

• shape

• outliers

Multiple Select

Which of the following are true about the IQR? Check all that apply.

• IQR = Q3 - Q1

• IQR = Q1 - Q3

• The IQR is the middle 50% of a distribution

• IQR stands for interquartile range

• The IQR is the width of the box in a boxplot

Multiple Select

How do you determine if a data value is an outlier? Check all that apply.

• Q1 - 1.5IQR

• Q1 + 1.5IQR

• Q3 - 1.5IQR

• Q3 + 1.5IQR

Multiple Choice

Which dot plot has the greatest variability?

• A
• B
• C
• D