Populations & Inferences

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.

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.

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.

Which has a larger IQR?

• Zach

• Steven

• They have the same IQR

Customers in two randomly selected groups at a yogurt shop are asked their preference of yogurt flavors. The responses for the customers in each group are summarized in the table above. Based on the information shown in the table, which statement best describes the preferences of the customers in the two groups?

• In both groups, more customers prefer peach-flavored yogurt than either of the other two flavors.

• In both groups, fewer customers prefer vanilla-flavored yogurt than either of the other two flavors.

• In group 2, the same number of customers prefer strawberry-flavored yogurt and vanilla-flavored yogurt.

• In group 1, more customers prefer either strawberry-flavored yogurt or vanilla-flavored yogurt than peach-flavored yogurt.

An Italian restaurant asked 150 random customers what type of pasta they preferred. Results are shown in the table given. The restaurant is going to order 500 boxes of pasta, approximately how many should be linguine?

• 240 should be linguine

• 70 boxes should be linguine

• 60 should be linguine

• 130 should be linguine

An ice cream shop surveyed 200 random customers to find out which new ice cream flavor they enjoy the most. Results are shown in the table to the left. If there are 1,400 customers in a given week, how many would you expect to prefer chocolate strawberry or very berry mix?

• 280 customers

• 490 customers

• 252 customers

• 770 customers

A fitness center asked 80 random patrons how long they exercise on average each day. Results are shown in the table to the left. If 300 people come to the gym on a given day, approximately how many would you expect to exercise for more than 135 minutes?

• 15 people

• 72 people

• 120 people

• 214 people