Measures of Variation

Measures of Variation 2020

Multiple Choice

When calculating the range of a data set, I need to

• subtract minimum - maximum

• subtract maximum - minimum

• subtract Q₁ - Q₃

• subtract Q₃ - Q₁

• use the 1.5 ( IQR ) rule

Multiple Choice

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9
• 8
• 12
• 18

Multiple Choice

Find the Upper Quartile (Q3) of the following numbers:

84, 88, 72, 74, 98, 16, 94

• 72

• 88

• 94

• There is no Upper Quartile.

Multiple Choice

Find the Lower Quartile (Q1) of the following numbers:

84, 88, 72, 74, 98, 16, 94

• 72

• 88

• 94

• There is no Lower Quartile.

Multiple Choice

To find the interquartile range (IQR)...

• Q1 - Q3

• Q3 - Q2

• Q3 - Q1

• Q2 - Q1

Multiple Choice

Find the IQR of the following numbers:
84, 88, 72, 74, 98, 16, 94 

• 78
• 22
• 16
• There is no IQR.

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

What is the maximum value?

• 58
• 66
• 64
• 60

Multiple Choice

What is the minimum value?

• 64
• 58
• 66
• 60

Multiple Choice

Which data set shows a greater spread?

• Chess Club

• Checkers Club

• They have the same spread.

• You cannot tell from the box plots.

Multiple Choice

The box-and-whisker plots show the test scores of two different classes. Which class had a greater range of test scores?

• There is no range.
• 2nd period
• the ranges are the same
• 1st period

Multiple Choice

The box-and-whisker plots show the points scored in each Super Bowl by the AFC and NFC. For which division were 75% of the points scored greater than 16 points?

• AFC
• NFC
• both divisions
• neither division

Multiple Choice

The box-and-whisker plots show the points scored in each Super Bowl by the AFC and NFC. About how many points higher is the upper quartile for the NFC than the AFC?

• 5 points
• 7 points
• 10 points
• 15 points

Multiple Choice

Which city, Nashville or Dallas, has the smaller median?

• Nashville

• Dallas

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot
• Bottom plot

Multiple Choice

Which value is in the top 25% of the data?

• 16
• 22
• 29
• 36

Multiple Choice

About 50 % of the data values are greater than what value?

• 12
• 15
• 22
• 31

Multiple Choice

75% of the Cruisers went to more than 13 car shows.  True or False?

• True
• False

Multiple Choice

What percent of the data is between 4.5 and 8?

• 25

• 50

• 75

• 100

Multiple Choice

Which has a greater interquartile range?

• Airplane A

• Airplane B

• Both the same

Multiple Choice

Which data set shows a greater spread?

• Chess Club
• Checkers Club
• They have the same spread.
• You cannot tell from the box plots.