Lesson Worksheet: Sample and Population Mathematics

In this worksheet, we will practice determining when to choose between taking a sample and a census.

Q1:

To determine the popularity of different meals at a school, the school staff send questionnaires to 100 of the school’s 500 students. What is the population of this study?

  • AThe 400 students that did not receive a questionnaire
  • BThe 100 students that received a questionnaire
  • CThe students of the school
  • DThe students of the 5th grade
  • EThe students of the 9th grade

Q2:

A government wants to determine the average age of the country’s population, so they question every citizen. What type of data set is used in this study?

  • ACensus
  • BSampling

Q3:

A local motoring company wants to determine the average number of cars per household in a town. They survey every household in the town. What is the sampling unit in this survey?

  • AEvery household on the eastern side of the town
  • BEvery household on the western side of the town
  • CEvery household in the town
  • DEvery household in the country
  • EEvery household outside the town

Q4:

Which of the following is not an advantage of taking a sample over a census?

  • AA sample contains less data to process than a census.
  • BA sample often costs less money than a census.
  • CA sample takes less time than a census.
  • DA sample gives a more accurate conclusion than a census.
  • EFewer people need to respond to a sample than a census.

Q5:

A company that manufactures bicycle helmets wants to determine the average force that will break their helmets. Which of the following is the reason a sample would be preferred over a census in this case?

  • AEach test will break a helmet.
  • BA sample will give an accurate result.
  • CEvery helmet will break with the same force, so a census is not needed.
  • DA census will take too much time.

Q6:

Which of the following data sets would be a suitable to evaluate the service of one of the hotels in the UK?

  • Amass population
  • Bsamples

Q7:

Which is the most appropriate method for collecting data about the amount of salt in seawater?

  • AMass population method
  • BSample method

Q8:

Which of the following data sets would be suitable to determine the average score on a test in a class with 25 students?

  • ASamples
  • BMass population

Q9:

To determine the popularity of possible new flavors of ice cream, a company surveys 10 of its 100,000 customers. Which of the following will improve the accuracy of this study?

  • AAsking only the 10 most loyal customers
  • BIncreasing the size of the sample
  • CChoosing healthier sounding flavors
  • DAsking only the 10 most recent customers

Q10:

A teacher wants to estimate the percentage of the school students who consider science to be their favorite subject. He asked a random sample of 80 students entering the school and found that 52 students consider science to be their favorite subject, while 28 students do not. Which of the following is true?

  • AWe can conclude that about 65% of the school students consider science to be their favorite subject.
  • BWe can conclude that about 65% of the school students consider mathematics to be their favorite subject.
  • CWe can conclude that about 35% of the school students consider science to be their favorite subject.
  • DWe can conclude that about 65% of the school students do not consider science to be their favorite subject.

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