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Lesson 30 Understanding Sampling

Learn how to take a representative sample and understand the data collected from a random sample. Explore biased samples and make informed inferences.

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Lesson 30 Understanding Sampling

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  1. Lesson 30Understanding Sampling

  2. Essential Question • How can you take a representative sample of a population?  • What does the data from a random sample tell you about a population? 

  3. Words to Know: • Data: information collected for observation or analysis • Population: in data collection, the group of interest • Sample: data collected for analysis • Sampling: collecting data from a subset of a population

  4. Continued: • Representative sample: in data collection, a sample whose values are representative of the entire population (most useful sample) • Random sample: data collected from a subset of a population that is chosen randomly (this is the best way to get a representative sample) • Biased sample: data collected from a group whose opinions do not best represent the entire population • Inference: an informed guess based on evidence

  5. Our Classroom Sample: What was the data? Population? Was it a representative sample? Was it a random sample? Was it a biased sample? What inferences can you make?

  6. Springfield’s mayor wants to know if the town’s residents are in favor of putting up more stop signs. On a Tuesday afternoon, he knocks on the doors of fifty residents in one neighborhood to ask: “Do you want more stop signs?” Are the opinions he gets likely to represent those of all residents of Springfield?

  7. A factory manager wants to know how many of the 20,000 LED light bulbs made each day are defective. His employees suggest three possible ways for taking a sample of 200 bulbs: Method 1 – Test the first two hundred bulbs made each day. Method 2 – Test every one hundredth bulb made each day. Method 3 –Randomly select 200 numbers between 1 and 20,000 and test the bulbs with those numbers. Which method will allow the manager to make the best guess of the total number of defective bulbs made each day?

  8. Reggie wants to find out the favorite app of the 700 students in grades 6 through 8. His plan for taking a sample is to ask the first 20 male 8th graders on his school bus to name their favorite app. • What do you think of Reggie’s plan? b. Describe a better sampling method that Reggie can use. c. Do you think if he takes two random samples of the same size, he will get the same results?

  9. Think- Pair - Share Read number 3 on page 269 -“Think about it and write something down, Pair up with a partner, share your findings” Consider: -What is the population of interest? -Will everyone asked be a member of that population?

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