Lesson 10 3 Generating Random Samples Answer Key
- For use before Lesson 10.3 Sample answer: disagree; Scott’s calculation has three steps while using the Quotient of Powers Property has only two steps: subtract 52− to get 3, and then raise 2 to the third power to get 8. Also, if you are trying to.
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- Random Samples and Populations 11. A school principal wants to find out if his school needs more bike racks. A survey is taken of 30 students who ride their bikes to school. Why might the sample be biased? Use the data set for 12–16. Children’s Ages 7, 4, 7, 7, 2, 10, 12, 8, 7, 4 The data set shows the ages of 10 children.
Overview
Students are introduced to the concept of sampling as a method of determining characteristics of a population. Gitlab java api. They consider how a sample can be random or biased, and think of methods for randomly sampling a population to ensure that it is representative.
The idea of sampling is connected to probability; a relatively small set of data (a random sample/number of trials) can be used to generalize about a population (or determine probability). A larger sample (more trials) will give more confidence in the conclusions, but how large of a sample is needed?
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Students also discuss what random means and how to generate a random sample. Random samples are compared to biased samples and give insight into how statistics can be misleading (intentionally or otherwise).
Random samples are related to probability. In probability, the number of trials is a sample used to generalize about the probability of an event. The results in probability are random if we are looking at equally likely outcomes. If a data sample is not random, the conclusions about the population will not reflect it.
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Terminology introduced in this lesson:
- population: the entire set of objects that can be considered when asking a statistical question
- sample: a subset of a population; can be random, where each object in the population is equally likely to be in the sample, or biased, where not every object in the population is equally likely to be in the sample
- Introduce sampling as a method to generalize about a population.
- Discuss the concept of a random sample versus a biased sample.
- Determine methods to generate random samples.
- Understand that biased samples are sometimes used to mislead.
SWD: Some students with disabilities will benefit from a preview of the goals in this lesson. Students can highlight the critical features and/or concepts and will help them to pay close attention to salient information.
Have students discuss the Opening question with a partner, and then have a few share their proposed methods.
Discuss the Opening question, eliciting from students that since it is not possible to calculate a theoretical probability for this question, it is necessary to survey people and calculate the experimental probability.
Some questions to ask to generate discussion:
- Is it possible to ask everyone in the United States this question?
- If we can only ask a few people, how many is enough?
- How could we select the people to survey?
- What if all of the people surveyed were from one town?
- What if most of the people surveyed were women/men?
- What if most of the people surveyed were over/under 21?
Examined Random Samples Crossword
ELL: Be aware that all students may be unfamiliar with where the Bahamas are located. It is important to provide culturally relevant examples in order for students to understand and connect with the mathematics. Make sure students can see where the Bahamas are located.
Lesson 10-3 Generating Random Samples Answer Key
Opening

Estimate the probability that a person from the United States chosen at random will vacation in the Bahamas this summer.
Non-random Samples
- How would you go about finding this probability?