Describing Distributions

Shape?

• Skewed right
• Skewed left
• Symmetric
• Unimodal

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Center and spread?

• Median and Inter-Quartile Range
• Mean and Standard Deviation
• Median and Range
• Mean and Range

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Set A: 4, 7, 7, 7, 10
Set B: 4, 6, 7, 8, 10
Larger standard deviation?

• Set A
• Set B
• Both are equal.
• You can't tell.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Set A: 14, 16, 17, 18, 20
Set B: 4, 6, 7, 8, 10
Larger standard deviation?

• Set A
• Set B
• Both are equal.
• You can't tell.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

5-number summary
Min: 30    Q1: 50
Median: 60    Q3: 90
Max: 170
Are there any outliers?

• There is a high outlier but no low outlier
• There is a low outlier but no high outlier
• There is both a low and high outliers
• There are no outliers

Tags

CCSS.HSS.ID.A.3

5-number summary
Min: 40    Q1: 90
Median: 105    Q3: 110
Max: 125
Are there any outliers?

• There is a high outlier but no low outlier
• There is a low outlier but no high outlier
• There is both a low and high outliers
• There are no outliers

5-number summary
Min: 30    Q1: 70
Median: 75    Q3: 90
Max: 130
Are there any outliers?

• There is a high outlier but no low outlier
• There is a low outlier but no high outlier
• There is both a low and high outliers
• There are no outliers

5-number summary
Min: 10    Q1: 40
Median: 75    Q3: 80
Max: 130
Are there any outliers?

• There is a high outlier but no low outlier
• There is a low outlier but no high outlier
• There is both a low and high outliers
• There are no outliers

Remove the high outlier

• The Standard Deviation increases
• The Standard Deviation stays the same
• The Standard Deviation decreases
• The Standard Deviation is 11.87

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

• Median = 35
• Median = 36
• Median = 41
• Median = 38.5

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3