Comparative Inferences: Variability

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.

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.

The spread in the data:  range and IQR

• Variability

• Measure of Center

• Box and Whisker 

• Dot Plot

The difference between the greatest and the least values in a set of data

• Mean

• Interquartile range

• Range

• Median

To find out how far the data is spread from the mean you will need to use what?

• Interquartile Range

• Mean Absolute Deviation

• Range

• Mean

Group A and Group B were randomly sampled from the same population. What inference can you make?

• Group A has higher overall variability because it has a larger range than Group B.

• Group A has a lower overall variability because it has a smaller range than Group B.

• Group B has a higher overall variability because it has a larger range than Group A.

• Group B has a lower overall variability because it has a smaller range than Group A.

What is the difference between the medians?

• 16

• 12

• 8

• 4

Kono gathers the heights of a random sample of sixth graders and seventh graders and displays the data in box plots. What can he say about the two data sets? The median of the _______ grade sample is greater than the median of the ________ grade sample. The ________ grade sample has greater variability.

• The median of the 6th-grade sample is greater than the median of the 7th-grade sample.

  
  

  The 6th-grade sample has greater variability.

• The median of the 7th-grade sample is greater than the median of the 6th-grade sample.

  
  

  The 7th- grade sample has greater variability.

• The median of the 6th-grade sample is greater than the median of the 7th-grade sample.

  
  

  The 7th-grade sample has greater variability.

• The median of the 7th-grade sample is greater than the median of the 6th-grade sample.

  
  

  The 6th-grade sample has greater variability.

Which box and whisker plot has the highest median?

• Top plot

• Bottom plot

• They are the same

Which inference about the two populations is true

• Both sets of data have the same interquartile range

• Both sets of data have the same median

• Ander's data centers areound 6 and Marcus's data centers around 7

• The interquartile range for Ander's data is .5 greater than the interquartile range for Marcus's data