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

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