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

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