Comparative Inferences: Variability

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

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.

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

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.

• A
• B
• C
• D

The dot plots show the weights of a random sample of fish from two lakes. Pick the statement that describes the variability of the samples.

• The variability of the weights of the fish in Lake S is greater than the variability of the weights of the fish in Lake R.

• The variability of the weights of the fish in the two lakes are about the same.

• The variability of the weights of the fish in Lake R is greater than the variability of the weights of the fish in Lake S.

• You cannot determine variability based on a dot plot.

Random samples of pages read in a social studies class and English class are represented by the dot plots. Which class has the greater variability?

• English

• There is not enough information to decide.

• Social Studies

• They have the same variability.

Which dot plot shows more variability? a or b?

• a

• b

Which answer choice best describes the variability of the two data sets?

• The variability of the data recorded for JJ Wright is 3 times greater than the variability of the data recorded for Holly Creek.   

• The variability of the data recorded for both JJ Wright and Holly Creek is about the same. 

• The variability of the data recorded for JJ Wright is of the variability of the data recorded for Holly Creek.

• There is not enough information to determine the variability for either school.

• A

• B

• C

• D