Math 6 - MAD, IQR, and Data Distribution

Math 6 - MAD, IQR, and Data Distribution

Lesson 8.5 - MAD & IQR

• Mean Absolute Deviation (MAD)

• Interquartile Range (IQR)

Multiple Choice

Find the Mean Absolute Deviation of the set: 6, 3, 5, 4, 8, 10

• 6

• 36

• 15

• 2

Multiple Choice

Find the Mean Absolute Deviation:  5, 11, 2, 7, 16.  The Mean is 8.2 

• 3.2
• 2.8
• 1.2
• 4.2

Multiple Choice

Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 33

• 39

• 13.2

• 195

• 65.2

Multiple Choice

Use the box plot to answer the question.

• 15
• 18
• 9
• 30

Multiple Choice

What is the interquartile range (IQR)?

• 64

• 4

• 8

• 60

Multiple Choice

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

• Median: 54

  First Quartile: 49

  Third Quartile: 67

  IQR: 18

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 21

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 22

• Median: 54

  First Quartile: 49

  Third Quartile: 69

  IQR: 20

Multiple Choice

Find the median, first quartile, third quartile, and interquartile range of the data.

203, 183, 212, 181, 157, 204, 189, 190

• Median: 189

  First Quartile: 182

  Third Quartile: 203

  IQR: 21

• Median: 189.5

  First Quartile: 182

  Third Quartile: 203

  IQR: 21

• Median: 189

  First Quartile: 182

  Third Quartile: 203.5

  IQR: 21.5

• Median: 189.5

  First Quartile: 182

  Third Quartile: 203.5

  IQR: 21.5

Lesson 8.6 - Best Measure of Center and Variability

• Identify Outliers

• If there is an outlier, you use the median and IQR

• If there is NO outlier, you use the mean and MAD

Multiple Choice

When data values are close together, they are........together.

• clustered

• spread

• gapped

• ranged

Multiple Choice

What is the most appropriate measure of variability to use when the median is the best measure of center?

• range

• mean absolute deviation

• interquartile range

• spread

Multiple Choice

An outlier distorts the.....

• median

• mode

• interquartile range

• mean

Multiple Choice

What is the most appropriate measure of variability to use when the mean is the best measure of center?

• interquartile range

• range

• mean absolute deviation

• mode

Multiple Choice

The spread and clustering of data in a set is the........ of the data set.

• variability

• mean

• median

• outlier

Multiple Choice

Data values that are far away from most of the other data in a set...

• Gaps

• Outliers

• Averages

• Clusters

Multiple Choice

Mean, median, and mode are all measures of...

• variability

• center

• gap

• spread

Multiple Choice

Which measure of center best represents this set of data?
12, 13, 11, 16, 31, 14, 10, 15

• Mean
• median
• mode

Multiple Choice

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

• 7
• 23
• 31
• 34

Fill in the Blanks

Which is the best measure of center best describes the data set 1, 1, 1, 2, 2, 3, 4, 5, 5, and 25?

Multiple Choice

When analyzing numerical data, the best measure of center with NO outlier is:

• mean

• median

• mode

• range

Multiple Choice

What measure of center is best to use when we have outliers?

• mean

• median

• mode

• range

Multiple Choice

Which measure of center best represents this set of data?

12, 13, 11, 16, 31, 14, 10, 15

• Mean

• median

• mode

Multiple Choice

Which measure of center best represents this set of data?

12, 13, 11, 16, 31, 14, 10, 15

• Mean

• median

• mode

Lesson 8.7 - Data Distributions

• Symmetric

• Nonsymmetric

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

What is the shape of the data for Lucy's Steakhouse?

• Symmetrical
• Skewed Left
• Skewed Right

Multiple Choice

What is the shape of the distribution?

• Skewed Left

• Skewed Right

• Symmetric

• Uniform

Multiple Choice

Where is the gap in the data?

• between 23 and 25

• between 17 and 20

• at 18

• at 22

Multiple Choice

Which statement best describes this graph?

• The graph is symmetrical.

• There is a cluster of data between 23 and 25.

• The spread is 10.

• The most students sold 25 magazines.

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

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