Lesson Worksheet: Sample and Population Methods Mathematics

In this worksheet, we will practice determining when to take a sample and when to use the whole population.

Q1:

Which of the following data sets would be suitable to collect information about the quantity of oil available in different locations in the US?

  • Amass population
  • Bsamples

Q2:

Which of the following data sets would be suitable to assess the level of education attained by 20 year olds in Africa?

  • AMass population
  • BA sample

Q3:

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

Q4:

True or False: A sample consists of one or more observations drawn from the population.

  • ATrue
  • BFalse

Q5:

True or False: A population includes all of the elements from a set of data.

  • AFalse
  • BTrue

Q6:

Chloe knows all the families living in her area quite well. She says she has found out that the average number of children per family is 2.3. Is this figure a sample statistic or a population characteristic?

  • Aa population characteristic
  • Ba sample statistic

Q7:

A study claims that 96% of people aged 16 to 24 in a certain country own a smart phone. Is this a sample statistic or a population characteristic?

  • Aa sample statistic
  • Ba population characteristic

Q8:

A poll was published before a senate election predicting that Mrs. Jackson would win with 52% of the votes cast. Is this figure a sample statistic or a population characteristic?

  • AA population characteristic
  • BA sample statistic

Q9:

Which of these describes an inference in statistics?

  • AGenerating a random sample from a given population
  • BComputing a statistic from the sample
  • CApplying conclusions drawn from a sample of a whole population
  • DWorking out the percentage of a population that exhibits a certain characteristic

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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