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 check the education level in the poor villages in Africa?

  • AMass population
  • BSamples

Q3:

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

Q4:

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

Q5:

Jacob asked all the students in his class how many text messages they send on average per day. He found out that the average was 24. He then claimed that students in his school send on average 24 text messages per day. Is this figure a sample statistic or a population characteristic?

  • Aa sample statistic
  • Ba population characteristic

Q6:

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

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 is suitable to examine the blood type of a patient?

  • AMass population
  • BSamples

Q9:

Determine the appropriate method for collecting the data in the following case: checking the quality of wheat before buying.

  • Asample method
  • Bmass population method

Q10:

Which of the following data sets would be suitable to check the quality of production of a car manufacturer?

  • Amass population
  • Bsamples

Q11:

Which of the following data sets would be suitable to see the ratio of bacteria in water in a stream?

  • AMass population
  • BSamples

Q12:

Which of the following data sets would be suitable to find how far a crop infestation has spread?

  • Amass population
  • Bsamples

Q13:

Which of the following data sets is suitable to calculate how many hospitals there are in a city?

  • AMass population
  • BSamples

Q14:

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

Q15:

Which of the following data sets is suitable to measure the individual incomes of the population?

  • ASamples
  • BMass population

Q16:

Which would be the most appropriate method for collecting the data when checking the status of newly fitted gas pipes before switching on distribution?

  • Amass population method
  • Bsample method

Q17:

Which of these makes 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

Q18:

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

Q19:

The last census showed that slightly more than one-third of people rent the home where they live. Is this figure a sample statistic or a population characteristic?

  • Aa population characteristic
  • Ba sample statistic

Q20:

Which of the following data sets would be suitable to determine the total percentage of absences in a school?

  • ASamples
  • BMass population

Q21:

A school principal was happy to announce that the number of late arrivals per day in the whole school was only five on average. Is this figure a sample statistic or a population characteristic?

  • Aa sample statistic
  • Ba population characteristic

Q22:

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

  • ATrue
  • BFalse

Q23:

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.

Q24:

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

  • AFalse
  • BTrue

Q25:

A statistical analysis shows that the number of positive cases of a disease in an economically developed country is 1% of the whole population. Is this a sample statistic or a population characteristic?

  • APopulation characteristic
  • BSample statistic
  • CNone of the answers are correct.

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