Lesson Worksheet: Using Sampling to Predict Mathematics

In this worksheet, we will practice predicting the behavior of a population using sampling.


A student wants to research how much allowance the students in his middle school receive. Which of the following would be the best way to get a representative sample of the population?

  • AAsking a random sample of 50 students from his grade how much allowance they receive
  • BAsking a random sample of 20 students from each grade how much allowance they receive
  • CAsking the teachers of each class how much allowance they think the students in their class receive
  • DAsking all of the students in the library on a Monday lunchtime how much allowance they receive


An animal rescue center wants to find out if people in its town think more money should be spent on animal welfare. They plan to ask a random sample of their visitors and volunteers to fill in a questionnaire. Why would their sample not be representative of the town’s population?

  • AThe center’s visitors and volunteers are likely to be supportive of spending on animal welfare.
  • BPeople will not want to spend time filling in the questionnaire.
  • CWe do not know how they will ensure that the sample is random.
  • DThere might be a high proportion of children in the sample, which will skew the result.


The Egyptian government wishes to conduct a survey about the Egyptian people’s satisfaction with the government plan. Which of the following is an unbiased sample?

  • AA random sample taken from Egyptian females
  • BA random sample taken from Egyptian employees
  • CA random sample taken from Cairo’s population
  • DA random sample taken from the Egyptian people
  • EA random sample taken from Egyptian males


A church organization wants to poll citizens on their opinion of religious education in schools. They send a survey to all their members around the country. Is their sample biased?

  • ANo
  • BYes


A lamp manufacturer has two lines of fabrication, line 1 and line 2, and the work is organized in two eight-hour shifts. The quality manager plans to introduce new quality checks using new power measurement devices. They decide to measure the power of the lamps exiting line 1 between 10:00 and 10:15 am every day for one week. Is their sample biased?

  • ANo
  • BYes


Abdulrahman wants to find out the proportion of seventh grade students who have already been abroad. There are 250 seventh grade students in his school. He decides to number all of them from 1 to 250, generate a random list of 40 numbers between 1 and 250, and then interview the corresponding students. Is his sample biased?

  • ANo
  • BYes


True or False: A conclusion from a biased sample is as trustworthy as a conclusion from a truly random sample of the population being studied.

  • ATrue
  • BFalse


Which of the following survey questions is least biased?

  • ADrinking sodas during a high-protein meal has been shown to decrease metabolic efficiency, which may prompt the body to store more fat. How often do you drink sodas during meals?
  • BHow often do you manage to drink water rather than sodas during meals?
  • CFor each of the beverages given, indicate how often you drink them during meals.
  • DOn a scale from 1 to 10, how do you rate the frequency and quantity of sodas you drink during meals?


Maryam is doing a research project on whether or not students in her school eat healthy food. She decides to interview her friends who do gymnastics with her. Is her sample biased?

  • ANo
  • BYes


Which of the following survey questions is least biased?

  • ADo you think our product would suit young children and teenagers?
  • BHow would you rate our product on a scale from 1 to 10?
  • CDo you love our product?
  • DWhat do you love about our product?

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