Measures of Spread; Range and Interquartile Range

Measures of Spread; Range and Interquartile Range

​Lesson Objectives;

• ​calculate the range for given data sets.

• ​calculate the quartiles and interquartile range for data sets.

• ​interpret the meaning of range and interquartile range for data sets.

​Range definition and calculation

​Watch the video on the range and its interpretation, make some notes and respond to the proceeding quiz.

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Multiple Choice

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

• 18

• 27

• 30

• 12

Multiple Choice

What is the range of this data set?

• 20

• 5

• 30

• 26

Multiple Choice

18, 4, 12, 2, 13, 18, 2, 2, 10 What is the range of this data set?

• 9

• 20

• 2

• 16

Multiple Choice

93, 100, 82, 93, 67, 100, 67, 82, 93, 93 What is the range of this data set?

• 26

• 93

• 33

• 82

Multiple Choice

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

• 193

• 127

• 60

• 66

Multiple Choice

What is the meaning of range in data analysis?

• average

• A measure of spread of the data

• the middle value of the data

• the data happening the most

Multiple Choice

The table shows the ages of automobiles in the parking lot. The range of the ages is 12 years. Find the missing age.

• 12

• 13

• 14

• 15

​Quartiles and Interquartile range

​Watch the video about quartiles and interquartile range, make some notes and respond to the proceeding quiz.

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Fill in the Blank

The table shows the average monthly temperature for St. Louis. The median for this data is ________.

Fill in the Blank

The table shows the average monthly temperature for St. Louis. The lower quartile (Q1) for this data is ______.

Fill in the Blank

The table shows the average monthly temperature for St. Louis. The upp er quartile (Q3) for this data is ______.

Fill in the Blank

The table shows the average monthly temperature for St. Louis. You have already found the lower and upper quartiles. The Interquartile Range (IQR) is ________.

Fill in the Blank

This list shows the different precipitation amounts in 13 western US states. The median of this list is ________.

Fill in the Blank

This list shows the different precipitation amounts in 13 western US states. The lower quartile (Q1) of this list is ________.

Write your answer as a decimal.

Fill in the Blank

This list shows the different precipitation amounts in 13 western US states. The upper quartile (Q3) of this list is ________.

Fill in the Blank

This list shows the different precipitation amounts in 13 western US states. The Interquartile Range (IQR) of this data is ___________. Write your answer as a decimal.

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

A measure of variation in a set of numerical data, it is the distance between the first and third quartiles of the data set.

• Interquartile Range

• Outliers

• First Quartile

• Third Quartile

Multiple Choice

A value that is much higher or much lower than the other values in a set of data.

• Outlier

• Box Plot

• Range

• Histogram

Multiple Choice

What is the interquartile range of the data set below?

3, 5, 6, 6, 7, 8, 9

• 3

• 6

• 2

• 8

​The End