Median, Quartiles & IQR

Which of the following lists all parts of the five number summary?

• Mean, Median, Mode, Range, and Total
• Minimum, Quartile 1, Median, Quartile 3, and Maximum 
• Smallest, Q1, Q2, Q3, and Q4
• Minimum, Maximum, Range, Mean, and Median

Quartiles break the data set into _____ equal parts each representing 25% of the data.

• 1

• 2

• 3

• 4

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

• Mean
• Median
• Mode
• Range

What does a quartile mean?

• One fourth of the data.

• One half of the data.

• Some data only.

• All of the data.

True or False
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).

• True
• False

If there is an even number of data in the data set how do you find the median?

• order the data and find the middle value
• order the data add the 2 middle values and divide by 2

Find the range of the data.

63, 71, 65, 66, 87, 53

• 32

• 33

• 34

• 35

What is the Q1, Q2, and Q3 of the following data set?

4, 5, 6, 8, 9, 10, 11

• Q1: 4

  Q2: 8

  Q3: 11

• Q1: 5

  Q2: 8

  Q3: 10

• Q1: 4

  Q2: 5

  Q3: 6

What is the IQR of the following Data Set:

32, 35, 35, 36, 39, 40, 44, 48, 49

• Q1: 35

  Q2: 39

  Q3: 46

  IQR: 46 - 35 = 11

• Q1: 35

  Q2: 39

  Q3: 44

  IQR: 44 - 35 = 9

• Q1: 35

  Q2: 39

  Q3: 48

  IQR: 48 - 35 = 13

• Q1: 35

  Q2: 39

  Q3: 46

  IQR: 39 - 35 = 4

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