Compare Data

Garth bought tomato plants from two nurseries. The dot plots show the heights of the plants from each nursery after a month. Which best describes how the median heights of the plants from Nursery A compare to the median heights of the plants from Nursery B?

• The median of Nursery B is greater by 2 centimeters.

• The medians are equal.

• The median of Nursery A is greater by 1 centimeter.

• The median of Nursery A is greater by 2 centimeters.

The dot plots show the heights of students on the basketball team and the lacrosse team. Which statement about the mean heights is true?

• The mean height on the basketball team is 3 inches more than the mean height on the lacrosse team.

• The mean height on the basketball team is 5 inches more than the mean height on the lacrosse team.

• The mean height on the basketball team is 7 inches more than the mean height on the lacrosse team.

• The mean height on the basketball team is the same as the mean height on the lacrosse team.

Eloise wants to know if there is a connection between receiving an A and the number of hours of her classmates who received an A on the last history and math test. The results are below. What statement is supported by the data?

• Most students who received an A on the history or math test spent 1–3 hours studying.

• The most likely way to receive an A on a history or math test is to spend 5 hours studying.

• The same students who received an A on the math test also received an A on the history test.

• It is very unlikely to receive an A on a history or math test if a student studies less than 3 hours.

Mario surveyed a random sample of 20 students in the school orchestra as to how many hours per week they practiced. Which of the following is a reasonable conclusion based on the mean number of hours per week the boys and girls spend practicing?

• The boys generally practice slightly more than the girls

• The boys generally practice much more than the girls

• The girls generally practice slightly more than the boys

• The girls generally practice much more than the boys

• 1.5

• 2.5

• 3.5

• 5

• A

• B

• C

• D

Answer explanation

To determine which Farm "generally" has more pumpkins, we look at the measure of center. (mean or median)

To determine the variability in the number of pumpkins per row, we look at the range or IQR.

Analyze the dot plots. What is the difference between the medians of the two data sets?

• 2 mm

• 4 mm

• 6 mm

• 8 mm

Isiah collects data from two different companies, each with four employees. The results of the study, based on each worker's age and salary, are listed in the tables above. Which statement is true about these data?

• The median salaries in both companies are greater than $37,000

• The mean salary in company 1 is greater than the mean salary in company 2

• The salary range in company 2 is greater than the salary range in company 1

• The mean age of workers at company 1 is greater than the mean age of workers at company 2

When comparing the spread of two data sets using box plots, which component should be examined?

• The length of the whiskers

• The size of the box

• The position of the median

• Both A and B

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets