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Common Core Standard 7.SP.A.1 Questions

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

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Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A local newspaper of a small town wants to find out if the mayor of the town is popular with its citizens. Which of the following samples should be used by the newspaper?
  1. random sample of people from the mayor's political party
  2. a random sample of people selected from all adult citizens of the town
  3. a random sample of people selected from all people registered with a political party
  4. a random sample of people selected from all middle class citizens of the town
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Mikey wants to estimate the number of students in his school who participate in a sport. Which of the following would be a random sampling method?
  1. he surveys the students in chorus
  2. he surveys 20 eighth grade students
  3. he surveys the students on the basketball team
  4. he surveys 50 students during each of the lunch periods
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
The student council needs to estimate the number of students who plan to attend the seventh grade dance on Friday. Which of the following would be the most representative method for the student council to survey the students?
  1. ask their best friends if they plan on going to the dance
  2. ask all of the students in the 7th grade if they plan on going to the dance
  3. ask half of the students in the middle school if they plan on going to the dance
  4. ask 5 students from each of the 7th grade homerooms if they plan on going to the dance
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A team of scientists are trying to find out what percentage of people in the United States have a little known medical condition. Which of the following sample groups is likely to be biased?
  1. A simple random sample of 2000 subjects
  2. A convenience sample of 2000 subjects
  3. A stratified random sample of 1500 subjects
  4. A systematic random sample of 3000 subjects
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Which of the following would be the best way to estimate the average number of songs a seventh grade student in your school downloads each month?
  1. survey 25 sixth grade students in your school
  2. survey 2 seventh grade students in your school
  3. survey half of the seventh grade students in your school
  4. survey 100 seventh grade students from two middle schools
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Why is a random sample more likely to provide the most accurate results?
  1. Because it can represent more people
  2. Because the randomization causes balance
  3. Because it eliminates the possibility of bias
  4. Because samples are short and sweet
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A student is trying to find out the general student opinion of a school's English course. Which of the following samples is likely to be the least biased?
  1. 20 students currently taking English
  2. 20 students who are not taking English
  3. 20 students fill out a voluntary response form
  4. 20 students selected at random
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
What is the definition of "population" in the context of a scientific survey of the animals in a certain area of rainforest?
  1. The total group of people living a given area
  2. The larger group of animals a sample is trying to represent
  3. The total group of animals in a given area
  4. The sample of animals used to represent a larger group
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A interviewer is trying to prove a point for his video. If he interviews 2 people in total, will he have an accurate representation of the opinions of a group of 200 people?
  1. Only if he chose people who were not biased
  2. Only if he picked the 2 people at random
  3. Yes, 2 people can speak for any population
  4. No, the sample is too small to be reliable
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