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Subject : Probability and Statistics = PS Strand 1: Introduction to Statistics. Strand 2: Organizing Data. Strand 3 : Averages and Variation Strand 4: Elementary Probability Theory. Strand 5: The Binomial Probability Distribution and Related Topics. Strand 6: Normal Distributions. Strand 7: Introduction to Sample Distributions. Benchmark Code Subject (M, S, SS, LA).Grade#.Strand#.Standard#. Benchmark# Example: PS.1.4.3 – Probability and Statistics, Strand 1, Standard 4, Benchmark 3 Strand: 1 INTRODUCTION TO STATISTICS. Standard 1: Introduction to statistical data. Students will be able to state the importance of the study of Statistics, the nature of the statistical data, what a sample is, what the sampling methods are and how to design ways to collect data. Benchmark Code Benchmark PS.1.1.1 Identify variables in a statistical study. PS. 1.1.2 Distinguish between quantitative and qualitative variables. PS. 1.1.3 Identify populations and samples. PS.1.1.4 Determine the levels of measurement. PS. 1.1.5 Compare descriptive and inferential statistics. Standard 2: Random samples. Students will be able to explain why random sampling is important to the study of Statistics, they will know how to use a their calculators o a random number table to make a simulation, and describe different sampling strategies and how to use them. Benchmark Code Benchmark PS.1.2.1 Explain the importance of random samples. PS.1.2.2 Construct a simple random sample using random numbers. PS.1.2.3 Simulate a random process. Describe stratified sampling, cluster sampling, systematic sampling and convenience sampling. Standard 3: Introduction to Experimental Design. Students will learn the basics for planning a statistical study understanding the differences between observations and experiments. Benchmark Code Benchmark PS. 1.3.1 Be able to explain the term census. PS.1.3.2 PS.1.3.3 PS.1.3.4 Describe simulations, observational studies and experiments. Identify control groups, placebo effects and