7th 6-3 Comparative Inferences about Populations

There are two movie theaters in a town. A student wants to compare the amount of money each theater makes over a period of days. The following box plots show the data for the amount of money each theater makes over a period of days. Compare the median of each box plot.

• The medians are about the same.

• Theater 1 has a greater median.

• Theater 2 has a greater median.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The following box plots display how fast two different types of animals can run. Compare the median of each box plot.

• The medians are about the same.

• Animal 1 has a greater median.

• Animal 2 has a greater median.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The following box plots show the frequency of test scores on a recent math test in two classes. What is the interquartile range​ (IQR) of the test scores for Class 1?

• 35

• 40

• 45

• 50

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The following box plots show the frequency of test scores on a recent math test in two classes. What is the interquartile range​ (IQR) of the test scores for Class 2?

• 35

• 40

• 45

• 50

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The following box plots show the frequency of test scores on a recent math test in two classes. Make a comparative inference about the populations based on the IQR. Choose the correct answer below. ?

• Class 1 has more varied class scores.

• Class 2 has more varied class scores.

• Class 1 has more consistent class scores.

• Both classes have equality consistent scores.

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

Angela is comparing the amount of rainfall over the past month in two cities on days when it rained. In City​ 1, the range in rainfall is 4.5 centimeters and the interquartile range​ (IQR) is 1.5 centimeters. In City​ 2, the range is 5 centimeters and the IQR is 3 centimeters. What might you conclude about the cities based on the ranges and interquartile​ ranges?

• The rainfall amounts on days when it rains have the same variability for City 1 and City 2.

• The rainfall amounts on days when it rains have greater variability for City 1 than those for City 2.

• The rainfall amounts on days when it rains have greater variability for City 2 than those for City 1.

• The rainfall amounts on days when it rains are generally greater for City 2 than those for City 1.

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. Determine the IQR for Farm 1.

• 6

• 7

• 8

• 9

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. Determine the IQR for Farm 2.

• 6

• 7

• 8

• 9

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

The box plots show the amount of time farmers from two farms spent harvesting crops over the past 2 months. What inference can be made based on the IQR of both Farms?

• Farm 2 has more variability in hours spent harvesting.

• Farm 1 has more consistent hours spent harvesting.

• Farm 2 has more consistent hours spent harvesting.

• Both farms are equally varied in the hours spent harvesting.

The following box plots show the high​ temperatures, in degrees​ Fahrenheit, in two cities over the past 10 days. What might you conclude about the cities based on the interquartile​ ranges?

• The weather pattern in City 2 is more consistent than the weather pattern in City 1.

• The weather patterns in City 1 and City 2 are equally consistent.

• The weather pattern in City 1 is more consistent than the weather pattern in City 2.

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5