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K–12 Standards

Statistics

Other Arkansas Mathematics Standards sets

Making Inferences & Justifying ConclusionMI

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    Surveys, Experiments, & Observational Data: Students make inferences and justify conclusions from sample surveys, experiments, and observational studies. 

    1. 1

      Estimate a population mean or proportion from a sample survey; develop a margin of error through the use of simulation models for random sampling.S.MI.1

    2. 2

      Calculate the standardized test statistic and p-value for a test about a population proportion and a population mean; determine if the sample data provides convincing evidence against a parameter claim. S.MI.2

    3. 3

      Compare two treatment groups in an experiment and determine if the difference in parameters is significant by calculating the standardized test statistics and p-value.S.MI.3

Conditional Probability & Rules of ProbabilityRP

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    Compute Probability of Compound Events: Students use the rules of probability to compute probabilities of compound events. 

    1. 1

      Determine unions or intersections of events in a sample space; determine complements of events. S.RP.1

    2. 2

      Identify the two components that make up a legitimate probability model/distribution.S.RP.2

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    Independence & Conditional Probability: Students understand and use independence and conditional probability to interpret data. 

    1. 3

      Determine if two events, A and B, are independent when given the probabilities of A and B.S.RP.3

    2. 4

      Calculate and use conditional probabilities to determine if events are independent. S.RP.4

    3. 5

      Create and analyze two-way frequency tables of data to calculate marginal, joint, and conditional probabilities.S.RP.5

    4. 6

      Using a two-way table, determine if two events are independent.S.RP.6

    5. 7

      Explain conditional probability and independence using everyday language in a variety of real-world contexts.S.RP.7

    6. 8

      Find the conditional probability of 𝐴 given 𝐵, 𝑃(𝐴|𝐵), and interpret the answer in terms of the model, including two-way frequency tables and Venn diagrams.S.RP.8

    7. 9

      Apply the Addition Rule, 𝑃(𝐴 𝑜𝑟 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) − 𝑃(𝐴 𝑎𝑛𝑑 𝐵) and interpret the answer.S.RP.9

    8. 10

      Identify whether or not two events are mutually exclusive / disjoint.S.RP.10

    9. 11

      Apply the general Multiplication Rule, 𝑃(𝐴 𝑎𝑛𝑑 𝐵) = 𝑃(𝐴)𝑃(𝐵|𝐴) = 𝑃(𝐵)𝑃(𝐴|𝐵) and interpret the answer.S.RP.11

    10. 12

      Compute the probability of compound events and solve problems using combinations, permutations, Venn Diagrams, and Tree Diagrams.S.RP.12

Use Probability to Make Decisions PMD

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    Expected Values: Students calculate and use expected values of random variables to solve problems.

    1. 1

      Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.S.PMD.1

    2. 2

      Calculate the expected value for a discrete random variable; describe the expected value as the mean or typical value of the probability distribution in context.S.PMD.2

    3. 3

      Create a probability distribution of a discrete random variable using theoretical probabilities and use the probability distribution to calculate the probability of an event.S.PMD.3

    4. 4

      Create a probability distribution for a discrete random variable using experimental or observational data; calculate the expected value.S.PMD.4

    5. 5

      Use probability density models such as the normal curve and uniform density curve to model real-world data; calculate probabilities of continuous random variables using these models.S.PMD.5

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    Outcomes of Decisions: Students evaluate outcomes of decisions using probability.

    1. 6

      Analyze the costs and benefits of possible outcomes of making a decision by assigning probabilities to particular payoff values of a discrete random variable and calculate expected values.S.PMD.6

Collecting Data & Data Bias CD

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    Data Collection: Students explore best practices of collecting data while identifying possible sources of bias in data collection methods. 

    1. 1

      Describe how to take a simple random sample using technology or a random number table.S.CD.1

    2. 2

      Use randomization strategies to ensure random selection processes are fair.S.CD.2

    3. 3

      Understand that certain types of sampling methods may lead to bias, such as convenience and voluntary samples.S.CD.3

Displaying & Describing Distributions of DataDD

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    Data Representation: Students represent raw data in tabular and graphical form to describe features of the data and summarize trends. 

    1. 1

      Distinguish between categorical and quantitative data. S.DD.1

    2. 2

      Determine if there is an association between two quantitative variables using the correlation coefficient and scatter plots.S.DD.2

    3. 3

      Model real-world data using least squares regression techniques.S.DD.3

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12
Where can I read the official document?
ARKANSAS MATHEMATICS STANDARDS

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