7-7 Selecting Samples Preview Warm Up California Standards Lesson Presentation Holt CA Course 1 7-7 Selecting Samples Warm Up For each situation, explain whether it makes sense to use a sample. 1. You want to know the most popular TV show among teenagers in Los Angeles. Yes; the population is large. 2. You want to know the favorite composer of the music teachers at a small college. No; the population is small. 3. The editor of a newspaper wants to know the average age of the newspaper’s readers. Yes; the population is large. Holt CA Course 1 7-7 Selecting Samples California Standards SDAP2.2 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. Holt CA Course 1 7-7 Selecting Samples Vocabulary systematic sample convenience sample self-selected sample Holt CA Course 1 7-7 Selecting Samples Recall that in a random sample each member of the population has an equal chance of being selected. Some other types of sampling methods are described below. Sampling Methods Method Description systematic sample A member of the population is selected at random, and then others are selected by using a pattern. convenience sample The most-available members of the population are chosen. self-selected sample Members of the population volunteer to respond to a survey. Holt CA Course 1 7-7 Selecting Samples Random samples and systematic samples are more likely to be representative of a population than either convenience samples or self-selected samples. Holt CA Course 1 7-7 Selecting Samples Additional Example 1: Identifying Sampling Methods The manager of a company wants to know how many employees have a laptop computer at home. Identify each type of sampling method. A. The manager randomly chooses 40 names from a list of all employees. This is a random sample because every employee has an equal chance of being selected. B. The manager surveys the first 50 employees as they arrive at the office. This is a convenience sample because the group of employees is easy to reach. C. The manager places a stack of survey forms in the company cafeteria. This is a self-selected sample because the group of employees chooses whether to complete the surveys. Holt CA Course 1 7-7 Selecting Samples Additional Example 2: Analyzing Sampling Methods Determine which sampling method will better represent the entire population. Justify your answer. Band Uniform Style Sampling Method Results Maria surveys only the band students she knows personally. 84% want blue uniforms Jon writes each band student’s 61% want blue uniforms name on a card. He questions those students whose name he draws. Jon’s sample is a random sample, giving every band member an equal chance to be surveyed, so it is the better method. Holt CA Course 1 7-7 Selecting Samples Check It Out! Example 1 You want to know how often students in high school take tests. Identify each type of sampling method. A. You survey the first 50 students as they arrive at school. This is a convenience sample because the group of students is easy to reach. B. You place a stack of survey forms in the student library. This is a self-selected sample because the group of students chooses whether to complete the surveys. C. You randomly choose 40 names from a list of all students and then every 5th name after that. This is a systematic sample because the students are chosen at random and then the other names are chosen by using a pattern. Holt CA Course 1 7-7 Selecting Samples Check It Out! Example 2 Determine which sampling method will better represent the entire population. Justify your answer. Swimming Scheduling Sampling Method Results Ferdinand surveys every other swimmer on the team. 72% want practice early Anna-Maria questions the swimmers who are in her Biology class. 50% want practice early Ferdinand’s method produces results that better represent the entire swimming team population. Holt CA Course 1 7-7 Selecting Samples Lesson Quiz An eye doctor wants to know how many of her patients work at a computer. Identify each type of sampling method. 1. The doctor surveys the patients in the waiting room one morning. convenience sample 2. The doctor places cards in the waiting room. self-selected sample 3. The doctor chooses every 50th name from a database of her patients. systematic sample Holt CA Course 1
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