# High School Statistics and Probability Common Core Resources

Here you will find all high school statistics & probability resources to guide and support mathematics teaching and learning.

These resources are organized by mathematical strand and refer to specific Common Core math content standards.

Quick reference: What are these tools?

## Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)

• S-ID.1

Represent data with plots on the real number line (dot plots, histograms, and box plots).

• S-ID.2

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

• S-ID.6

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

Problems of the Month

## Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)

• S-CP.1

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

Problems of the Month
• S-CP.2

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Problems of the Month
• S-CP.3

Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

Problems of the Month
• S-CP.4

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.

Problems of the Month
• S-CP.5

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

Problems of the Month
• S-CP.6

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

Problems of the Month
• S-CP.7

Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.

Problems of the Month
• S-CP.8

Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

Problems of the Month
• S-CP.9

Use permutations and combinations to compute probabilities of compound events and solve problems.

Problems of the Month

## Using Probability to Make Decisions (S-MD)

• S-MD.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.

Problems of the Month
• S-MD.2

Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

Problems of the Month
• S-MD.3

Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

Problems of the Month
• S-MD.4

Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.

Problems of the Month
• S-MD.7

Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Problems of the Month