Sampling Insights: Estimating Preferences in Populations

A school has 500 students. A survey is conducted with a random sample of 50 students to find out their favorite subject. If 20 out of the 50 students chose math, what percentage of the entire school might prefer math?

• 50%

• 40%

• 30%

• 10%

Tags

CCSS.7.SP.A.2

In a city of 10,000 residents, a researcher randomly selects 200 people to ask about their exercise habits. If 150 of those 200 say they exercise regularly, what is the estimated number of residents in the city who might exercise regularly?

• 5000

• 3000

• 10000

• 7500

Tags

CCSS.7.SP.A.2

A farmer has a field with 1,000 apple trees. He randomly samples 100 trees and finds that 30 of them have apples. If this sample is representative, how many apple trees in the entire field might have apples?

• 600

• 450

• 150

• 300

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A local bakery sells 1,200 loaves of bread each week. A random sample of 60 loaves is tested for quality, and 5 are found to be stale. What percentage of the total loaves sold might be stale?

• 8.33%

• 12%

• 10%

• 5%

Tags

CCSS.7.SP.A.2

In a class of 30 students, a random sample of 10 students is asked about their favorite sport. If 4 students choose soccer, what fraction of the entire class might prefer soccer?

• 12 students might prefer soccer.

• 20 students might prefer soccer.

• 15 students might prefer soccer.

• 8 students might prefer soccer.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A survey of 500 households in a town shows that 60% have pets. If a random sample of 50 households is taken, how many households in that sample would you expect to have pets?

• 40

• 50

• 30

• 20

Tags

CCSS.7.SP.C.6

A researcher wants to know the average number of books read by students in a school of 800. She randomly selects 40 students and finds that they read an average of 5 books each. How many books might the entire school read on average?

• 6000 books

• 800 books

• 2000 books

• 4000 books

Tags

CCSS.7.SP.A.2

In a population of 2,000 fish in a lake, a scientist catches and tags 100 fish. Later, he catches another sample of 200 fish and finds that 10 of them are tagged. What is the estimated total number of tagged fish in the lake?

• 50

• 200

• 500

• 100

Tags

CCSS.7.SP.A.2

A city has a population of 50,000 people. A random sample of 1,000 people is surveyed about their commuting habits, and 300 say they use public transport. How many people in the entire city might use public transport?

• 10,000

• 15,000

• 5,000

• 25,000

Tags

CCSS.7.SP.A.2

A teacher wants to know how many students in her school of 600 prefer online learning. She surveys a random sample of 60 students and finds that 36 prefer online learning. What percentage of the entire school might prefer online learning?

• 70%

• 50%

• 40%

• 60%

Tags

CCSS.7.SP.A.2