Making Comparative Inferences

Labelling

Label the following Box Plot.

Drag labels to their correct position on the image

Maximum

Median

Q1

Minimum

Q3

Multiple Select

Which of the following are considered measures of center?

• Mean

• Range

• Interquartile Range

• Median

Multiple Select

Which of the following are considered measures of variability?

• Mean

• Range

• Interquartile Range

• Median

Match

Match the following vocabulary words to their definition

• average; the sum of all numbers divided by the total number of numbers.

• the middle value of a data set

• the difference between the first and third quartile

• the difference between the greatest number and smallest number in a data set

Mean

Median

Interquartile Range

Range

• Mean

• Median

• Interquartile Range

• Range

Multiple Choice

The box plots show the number of hours two students spend working on a bench in workshop class on a random sample of days.

Based on the data, which statement is true?

• Student 1 typically spends more hours each day working on the bench than Student 2 because the interquartile range of Student 1 is larger.

• Student 1 typically spends more hours each day working on the bench than Student 2 because the median of Student 1 is larger.

• Student 2 typically spends more hours each day working on the bench than Student 1 because the interquartile range of Student 2 is larger.

• Student 2 typically spends more hours each day working on the bench than Student 1 because the median of Student 2 is larger.

Multiple Choice

Based on the number of hours the students spend working on the bench, which statement is true?

• Student 1 is typically less consistent because the interquartile range of hours Student 1 spends working on the bench is smaller than the interquartile range of hours Student 2 spends.

• Student 1 is typically more consistent because the interquartile range of hours Student 1 spends working on the bench is larger than the interquartile range of hours Student 2 spends.

• Student 2 is typically less consistent because the interquartile range of hours Student 2 spends working on the bench is larger than the interquartile range of hours Student 1 spends.

• Student 2 is typically more consistent because the interquartile range of hours Student 2 spends working on the bench is smaller than the interquartile range of hours Student 1 spends.

Multiple Choice

A wildlife expert randomly samples the height, in inches, of the deer populations in two forests. The table shows the results.

Based on the data, which statement best compares the heights of the deer in each forest?

• The deer in Forest 1 are generally taller and have less variability in height than the deer in Forest 2.

• The deer in Forest 1 are generally taller and have greater variability in height than the deer in Forest 2.

• The deer in Forest 1 are generally shorter and have less variability in height than the deer in Forest 2.

• The deer in Forest 1 are generally shorter and have greater variability in height than the deer in Forest 2.

Multiple Choice

Scientists collect data on the lengths of raccoons and foxes in a state park. The box plots show the lengths of the foxes and raccoons the scientists observe.

Which statement about the difference in the medians of the two data sets is true?

• The difference in the medians is about $$\frac{1}{4}$$ times the interquartile range of the length of either animal.

• The difference in the medians is about $$\frac{1}{3}$$ times the interquartile range of the length of either animal.

• The difference in the medians is about 4 times the interquartile range of the length of either animal.

• The difference in the medians is equal to the interquartile range of the length of either animal.