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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
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
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
There are 25 students in your English class. You want to determine if more students in your class enjoy reading or more enjoy writing. Which of the following would be the best way to randomly sample your class?
  1. ask all 25 students whether they prefer reading or writing
  2. ask 10 students in your English class whether they prefer reading or writing
  3. ask all the boys in your English class whether they prefer reading or writing
  4. ask your teacher whether more students in the class prefer reading or writing
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A political party is trying to find out which candidate in an election currently has the most support from the general American population. Which of the following samples is likely to be the most biased?
  1. A sample of 2,000 people from the southern states
  2. A sample of 2,000 people of a candidate's home city
  3. A sample of 2,000 people from the west coast
  4. A sample of 2,000 people from all over the United States
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A magazine wants to discover what grocery store in a certain city people prefer to shop at. Which of the following samples is likely to be the least biased?
  1. 35 people interviewed outside of a local superstore
  2. 30 people interviewed at random
  3. 45 people interviewed outside of the largest grocery store
  4. 40 people from a voluntary response hotline
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
Which of the ways of getting information listed below is an unbiased sampling method?
  1. Convenience sample
  2. Voluntary response sample
  3. Stratified random sample
  4. Self-selected sample
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A naturalist wants to discover what kind of rocks are found in a national park. Which of the following samples will give the most accurate representation of the kinds of rocks in the park?
  1. 75 rocks picked up off the surface of the ground
  2. 75 rocks dug up from under the surface
  3. 75 rocks from a underground cave
  4. 25 rocks from each of the three locations
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A company is trying to find out how much fruit the average person living in Chicago eats per day. Which of these samples will produce the most accurate representation of the population?
  1. 300 health activists
  2. 300 people from a voluntary response hotline
  3. 300 people interviewed at random
  4. 300 patients in the hospital
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A town with a total of 3000 women, 4000 children, and 2000 men is being surveyed to discover the most common eye colors. Which is the samples below is most representative of the total population?
  1. 9 women, 12 children, 6 men
  2. 10 women 13 children, 7 men
  3. 4 women, 3 children, 2 men
  4. 30 women, 40 children, 2 men
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A team of researchers is trying to determine the amount of chemicals in a lake. Which of the samples below will produce the least accurate results?
  1. 3 water samples from the surface, and 1 from the lakebed
  2. 2 water samples from the surface, and 2 from the lakebed
  3. 4 water samples from the bottom of the lake
  4. 2 water samples from the east side, and 2 from the west
Grade 7 Collecting and Interpreting Data CCSS: 7.SP.A.1
A college wants to find out what the students think of the courses it offers. Which of the samples below will result in the most accurate representation of the general student opinion?
  1. 60 students currently taking advanced medical courses
  2. 60 students currently in their last year of college
  3. 60 students selected using simple random sampling
  4. 60 students currently taking engineering courses
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