Examples for

Common Core Math: High School Statistics & Probability

In high school, students learn to summarize and interpret data using visual, numerical and analytic methods. Students represent data in plots, compute summary statistics and find equations that approximate data trends. Students also compute probabilities of related events using the laws of probability. Ultimately, this knowledge is translated to the real world as students use their knowledge of probability to analyze expected outcomes and make decisions about chance events.
Common Core Standards

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CCSS.Math.Content.HSS-CP.A.3
high school statistics common core standard MD.B.5

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high school statistics and probability common core standards
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Interpreting Data

Create models to analyze and summarize data.

Represent data in plots (CCSS.Math.Content.HSS-ID.A.1):

histogram {121, 142, 136, 142, 128, 238, 125, 354, 122, 232}

Find a curve to approximate data (CCSS.Math.Content.HSS-ID.B.6):

linear fit 2.2, 5.8, 10.2, 11.8, 12.5

Recognize and interpret normal distributions (CCSS.Math.Content.HSS-ID.A.4):

normal distribution with mean 55 and standard deviation 2.3
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Conditional Probability

Compute the probabilities of the occurrences of related events.

Compute conditional probabilities (CCSS.Math.Content.HSS-CP.A.3):

P(A given B) if P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/4

Calculate probabilities using the addition rule (CCSS.Math.Content.HSS-CP.B.7):

P(A) = 3/4, P(B) = 1/5, P(A and B) = 0, what is P(A or B)?
P(A) if P(A and B) = 0.2, P(A or B) = 0.4, P(B) = 0.333
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Using Probability to Make Decisions

Find expected outcomes and develop strategies for games of chance.

Find probabilities of specific outcomes (CCSS.Math.Content.HSS-MD.A.2):

probability of 8 heads in 15 coin tosses
chances of winning the lottery

Determine expected payoffs (CCSS.Math.Content.HSS-MD.B.5):

8:5 odds, bet $10
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