Comparing Random Samples

Group A and Group B were randomly sampled from the same population. Select all the inferences that you can make.

• Group B has a higher median than Group A.

• Group B has a higher mean than Group A.

• Group B has more overall variability than Group A.

• Group B has a smaller range than Group A.

• Group A and B have the same maximum value.

If you compare the medians of each data set, who spends more time online?

• Seventh graders

• Eighth graders

• Both grades spend an equal amount of time online.

• Impossible to determine from the data sets.

Which has a larger IQR?

• Zach

• Steven

• They have the same IQR

Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 seventh-graders attending Lucy’s school, how many would be expected to attend afterschool programs?

Caleb is comparing the growth of plants using two different fertilizers. Use the measures of center from the box plots to make an inference about the data.

• Based on the means, plants in Group A grew more than plants in Group B

• Based on the means, plants in Group B grew more than plants in Group A.

• Based on the medians, plants in Group A grew more than plants in Group B

• Based on the medians, plants in Group B grew more than plants in Group A.

Students in Mrs. Walsh’s math class wanted to know the favorite snacks of students in the school. How could they generate a random sample to survey?

• Line up the students by height and choose the first 20 students

• Use the school roster and randomly choose 50 boys.

• Obtain an alphabetized list of all the students in the school and select every seventh student

• Place all the names of the students in Mrs. Walsh's math class in a hat and randomly select 10 students.

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, about how many are expected to attend summer camp? Enter your answer in the box.

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

• Sample

• Population

• Random Sample

• Quartile

Which box and whisker plot has the smallest lower quartile?

• Top Plot

• Bottom Plot

• They are the same

The two data sets show the number of days that team members trained before a 5k race. What inference can you draw by comparing the median?

• There is more variability in the number of days that Team A members trained because the IQR for Team A is greater than the IQR for Team B.

• There is more variability in the number of days that Team B members trained because the IQR for Team B is greater than the IQR for Team A.

• Team A members generally trained for more days than Team B members

• Team B members generally trained for more days than Team A members