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7. Samples and Populations - CMS Goals |
Employ the process
of statistical investigation to explore problems
Analyze data using
tables, stem-and-leaf plots, histograms, and box-and-whiskers plots.
Compare data using
measures of center (mean, median), measures of spread (range, percentiles), and
data displays (stem-and-leaf plots, histograms, box-and-whiskers plots).
Explore relationships
among data using scatter plots.
Distinguish between
samples and populations, compare samples, and use information drawn from samples
to make conclusions about populations.
Apply selected
concepts form probability to understand the concept of randomness and to select
random samples.
Explore concepts
of representativeness and sample size as they relate to using random and nonrandom
sample to draw conclusions about the characteristics of populations
Design a survey,
focusing on how questions are asked.
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1. Comparing Data Sets 1.1 Comparing Quality Ratings 1.2 Using Box-and-Whisker Plots 1.3 Comparing Prices 1.4 Making a Quality Choice 1.5 Comparing Quality and Price ACE Questions (1 - 9 ) |
To engage in the process of statistical investigation. To compare data using tables, stem-and-leaf plots, histograms, and box-and-whiskers plots To compare data using measures of center (mean and median) and measures of spread (range) To consider the properties of the mean and the median, particularly the influence of extreme values on the measure's calculations. |
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2. Conducting
Surveys 2.1 Asking About Honesty 2.2 Selecting a Sample 2.3 Asking the Right Questions ACE Questions ( 1 - 15 ) |
To distinguish between a sample and a population To consider various ways of developing a sampling plan To use data from a sample to make predictions about a population To design a survey, focusing on how questions are asked. |
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3. Random
Samples 3.1 Choosing Randomly 3.2 Selecting a Random Sample 3.3 Choosing a Sample Size ACE Questions ( 1 - 11 ) |
To select a random sample for a population To use sampling distributions, measures of center, and measures of spread to describe and compare samples. To use data form samples to estimate a characteristic of a population To apply elementary probability work with spinners or calculators
to choosing random samples of data. |
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4. Solving Real-World
Problems 4.1 Solving an Archaeological Mystery. 4.2 Simulating Cookies ACE
Questions ( 1 - 13 ) |
To use data from samples to estimate a characteristic found in a population. To use characteristics form a population to describe a sample. To apply elementary probability in choosing random sample of
data. |