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?

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**S-ID.1**

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

*Performance Assessment Tasks*

**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.

*Performance Assessment Tasks*

**S-ID.6**

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

*Problems of the Month*

*Performance Assessment Tasks*

**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*

*Performance Assessment Tasks*

**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*

*Performance Assessment Tasks*

**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*

**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*