1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Learning Objective Name___________________ Today, we will identify different ways of selecting 1 a sample. 1 choosing CFU What are we going to do today? What are we going to identify? Activate (or provide) Prior Knowledge Raise your hand if you like soccer. Raise your hand if you like volleyball. CFU Teacher surveys the class and records the totals in the table provided. Sometimes people take surveys like this to determine what a group of people prefer. When the surveyors decide who to give their survey to, that is called selecting a sample. Right now, I selected you as my sample because you were here in my class. Today, we are going to identify the different ways of selecting a sample. Volleyball Soccer

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Concept Development A sample is a group of people selected from a population for a survey.  Samples are intended to represent the population.  Sampling is used because testing every member of a large group can sometimes be difficult or impossible. A population is an entire group of individuals that can be selected from for a study. We can sample a population using different methods: Method of Sampling DefinitionIs this method representative of the population? Examples Random sampling Each member of a population has an equal chance of being selected for the survey.  A random sample is more likely to be representative of a population than samples that are chosen in other ways.  Random sampling gives every individual an equal opportunity of being surveyed. If an interviewer were to conduct a survey of how many households in the U.S. have a dog, a random sample of households across the U.S. would be an accurate representation of the entire country. Convenience sampling Members of a population are selected because they are easily available or convenient for the survey.  Convenience sampling is not always representative of the population.  Convenience sampling only includes individuals who were in the area at the specific time the survey was given. If an interviewer were to conduct a survey at a shopping center early in the morning, the people interviewed would be limited to those who were there at that given time, which would not represent the views of the other members of society who do not shop at that time. Self-selected sampling Members of the population volunteer to respond to a survey.  Self-selected sampling is not always representative of the population.  Self-selected sampling only includes individuals who choose to take the survey. If an interviewer wanted to know what customers thought of their store, he or she could provide written surveys near the front of the store for customers who wish to fill them out. CFU Which type of sampling is likely to be representative of a population? a. Random sampling b. Convenience sampling In your own words, what is a sample? A sample is _______________.

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? Juan surveys 80 students by randomly choosing names from the school directory. Random sampling Convenience sampling Self-selected sampling Zeke surveys 100 people by randomly choosing names from a list of registered voters. Random sampling Convenience sampling Self-selected sampling Tia surveys 28 students that were sitting in the cafeteria at lunch. Random sampling Convenience sampling Self-selected sampling A car salesman surveys 75 customers on the car lot one Sunday afternoon. Random sampling Convenience sampling Self-selected sampling The sampling is random because Juan randomly chose names from the list of all students. The sampling is random because Zeke randomly chose names from the list of registered voters. The sampling is convenience because Tia selected students who were near her at lunch. The sampling is convenience because the car salesman selected people who were on the car lot that day. CFU What clues did I identify to determine the type of sampling? How did I know which method of sampling was used? What clues told me that I was correct? What clues did you identify to determine the type of sampling? How did you know which method of sampling was used? What clues told you that you were correct?

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? Tasty King restaurant surveyed 75 people by asking customers to call the number on their receipt if they wished to take the survey. Random sampling Convenience sampling Self-selected sampling Life magazine surveyed 200 readers by asking readers who wished to take a survey to fill out a comment card in the magazine and mail it back. Random sampling Convenience sampling Self-selected sampling The sampling is self-selected because Tasty King only surveyed customers who wished to participate. The sampling is self-selected because Life magazine only surveyed customers who wished to participate. CFU What clues did I identify to determine the type of sampling? How did I know which method of sampling was used? What clues told me that I was correct? What clues did you identify to determine the type of sampling? How did you know which method of sampling was used? What clues told you that you were correct?

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. 1. Identifying different ways of selecting a sample will help you determine if a survey gives you accurate results. 2. Identifying different ways of selecting a sample will help you do well on tests. CFU Does anyone else have another reason why it is important to identify different ways of selecting a sample? (pair-share) Why is it important to identify different ways of selecting a sample? You may give me one of my reasons or one of your own. Which reason is most important to you? Why? Importance A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. The Edison High School student council surveyed the first 50 people to arrive at the school dance. The survey asked what type of music the attendees would like to hear at the dance. The results were used to determine what music would be played at the dance.

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Closure 1. In your own words, what is a sample? 2. In your own words, what is a population? 3. Identify different ways of selecting a sample below. 4. What did you learn today about identifying different ways of selecting a sample? Why is that important to you ? (pair-share) Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? Myra surveys 45 people by randomly choosing people from a list of licensed drivers at the DMV. Random sampling Convenience sampling Self-selected sampling Adrian goes to a football game and surveys the first 100 fans who walk through the gate. Random sampling Convenience sampling Self-selected sampling The sampling is random because Myra chose her sample randomly from a list at the DMV. The sampling is convenience because Adrian surveyed the first 100 fans to the game.

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Independent Practice A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? A poll taker chooses 75 names at random from the phone book and calls them to ask his survey questions. Random sampling Convenience sampling Self-selected sampling Micaela wants to find out how many students at her school are going on the field trip. She surveys the first 50 students who arrive at school one morning. Random sampling Convenience sampling Self-selected sampling The manager of a hair salon places a stack of survey cards near the cash register for customers to fill out if they want. Random sampling Convenience sampling Self-selected sampling The sampling is random because the poll taker chose the names at random from the phone book. The sampling is convenience because Micaela surveyed the first 50 people to arrive at school. The sampling is self-selected because the customers can fill out the card if they want.

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Periodic Review 1 A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? Aquila surveys 30 town residents as they leave a town hall meeting. Random sampling Convenience sampling Self-selected sampling Carlos placed survey postcards in cafes around town. Residents can fill out the survey and mail it in. Random sampling Convenience sampling Self-selected sampling Ethan chooses 65 names at random from a list of the top 1000 musicians of all time. Random sampling Convenience sampling Self-selected sampling The sampling is convenience because the participants were chosen as they left a meeting. The sampling is self-selected because the residents have the option to fill out the card and mail it in. The sampling is random because the musicians were chosen at random from a list.

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Periodic Review 2 A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? Miranda printed up surveys and left them on the tables in the cafeteria. She told the students they could fill them out if they want and put them in a box near the cash register. Random sampling Convenience sampling Self-selected sampling LeVawn selects 35 clients to call at random from the club’s database. Random sampling Convenience sampling Self-selected sampling The manager of an electronics store surveys 90 people on Saturday as they leave the store. Random sampling Convenience sampling Self-selected sampling The sampling is self-selected because the students have the option to fill out the card and turn it in. The sampling is random because the clients were selected at random from a list of all clients. The sampling is convenience because the clients were surveyed as they left the store.

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Statistics, Data Analysis, and Probability 2.2 (3Q) Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population. Lesson to be used by EDI-trained teachers only. Periodic Review 3 A sample is a group of people selected from a population for a survey. A population is an entire group of individuals that can be selected from for a study. Step #1: Read the scenario, noting clues that help you identify the method of sampling. (underline) Step #2: Identify the method of sampling used in the survey. (circle) Step #3: Explain how you know the sample you selected was the type used in the survey. Identify different ways of selecting a sample. Random sampling Each member of a population has an equal chance of being selected. Convenience sampling Sample is drawn from the part of the population which is easily available or convenient. Self-selected samplingMembers of the population volunteer to respond to a survey. Type of SampleHow do you know? The church puts survey cards on all the seats at Sunday service. Parishioners can fill them out if they choose. Random sampling Convenience sampling Self-selected sampling Mike surveyed 50 clients at the gym who used the treadmills on Monday morning. Random sampling Convenience sampling Self-selected sampling GameStar randomly called 350 customers who bought their game system to survey them about their game satisfaction. Random sampling Convenience sampling Self-selected sampling The sampling is self-selected because the parishioners can fill them out if they choose. The sampling is convenience because the surveys were given to people who used the treadmills on Monday. The sampling is random because the customers were called at random.