Finding the Range and IQR

What is the range of a data set?

• The average of all values

• The difference between the greatest and least values

• The product of the greatest and least values

• The sum of all values

How do you find the range of a data set?

• Divide the greatest value by the least value

• Subtract the least value from the greatest value

• Multiply the greatest and least values

• Add the greatest and least values

Find the range of the each data set below:

15, 22, 37, 37, 11, 12, 12, 11

• 20
• 30
• 40
• 26

What does a small interquartile range indicate about the data?

• The data has a low average

• The data is close together

• The data has a high average

• The data is very spread out

What is the interquartile range?

• The average of all quartiles

• The sum of the first and third quartiles

• The difference between the third and first quartiles

• The difference between the highest and lowest values

How do you calculate the interquartile range?

• Divide the third quartile by the first quartile

• Multiply the first and third quartiles

• Subtract the first quartile from the third quartile

• Add the first and third quartiles

Identify Q₁, Q₂, Q₃, and the IQR of the data set below:

50, 65, 70, 120, 130, 145, 70, 55, 45

• Q1: 60

  Q2: 72.5

  Q3: 135

  IQR: 75

• Q1: 52.5

  Q2: 70

  Q3: 125

  IQR: 72.5

• Q1: 55

  Q2: 75

  Q3: 140

  IQR: 85

• Q1: 50

  Q2: 65

  Q3: 130

  IQR: 80

Identify Q₁, Q₂, Q₃, and the IQR of the data set below:

70, 76, 77, 76, 65, 78, 80, 45, 73, 72, 71

• Q1: 68

  Q2: 74

  Q3: 76

  IQR: 8

• Q1: 71

  Q2: 75

  Q3: 80

  IQR: 9

• Q1: 70

  Q2: 74.5

  Q3: 77

  IQR: 7

• Q1: 65

  Q2: 72

  Q3: 78

  IQR: 13