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Wyoming High School Statistics Curriculum

Video lessons and practice for every Statistics topic. Aligned to Wyoming Mathematics Standards so students can keep up with class or get ahead.

Wyoming High School Statistics Curriculum | StudyPugHelp

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ID

Standard

StudyPug Topic

CC.HSS.ID.A.1

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

CC.HSS.ID.A.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.

CC.HSS.ID.A.3

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

CC.HSS.ID.A.4

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

CC.HSS.ID.B.5

Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

CC.HSS.ID.B.6

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

CC.HSS.IC.A.1

Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

CC.HSS.IC.A.2

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

CC.HSS.IC.B.3

Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

CC.HSS.IC.B.4

Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

CC.HSS.IC.B.5

Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

CC.HSS.IC.B.6

Evaluate reports based on data.

CC.HSS.CP.A.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.

CC.HSS.CP.A.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.

CC.HSS.CP.A.5

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

CC.HSS.CP.B.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.

CC.HSS.CP.B.9

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

CC.HSS.MD.A.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.

CC.HSS.MD.A.2

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

CC.HSS.MD.A.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.

CC.HSS.MD.B.7

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

Wyoming High School Statistics: What Students Learn

Wyoming high school Statistics introduces students to the tools and thinking needed to analyze real-world data. Aligned to Wyoming Mathematics Standards, the course moves from reading data displays to understanding the math behind probability and statistical inference.

Data Analysis and Distributions

Students start by representing data using dot plots, histograms, and box plots. They compare data sets using measures of center — mean and median — and spread, including interquartile range and standard deviation. From there, students learn to fit data to a normal distribution and estimate population percentages using calculators and tables.

  • Dot plots, histograms, and box plots
  • Mean, median, interquartile range, and standard deviation
  • Normal distributions and area under the curve
  • Two-way frequency tables and relative frequencies

Scatter Plots, Correlation, and Causation

Students represent two-variable data on scatter plots and use technology to compute correlation coefficients. A key concept at this level is learning to distinguish between correlation and causation — a skill with real applications in science, media, and everyday decision-making.

Statistical Inference and Study Design

Students explore how statistics supports making inferences about populations from random samples. They learn the differences among sample surveys, experiments, and observational studies, and how randomization applies to each. Simulations help students develop margins of error and evaluate whether treatment differences are statistically significant.

  • Sample surveys vs. experiments vs. observational studies
  • Margin of error through simulation
  • Randomized experiments and comparing treatments
  • Evaluating data-based reports

Probability

The probability unit covers independent events, conditional probability, the Addition Rule, and the general Multiplication Rule. Students build two-way tables to identify independence and approximate conditional probabilities. Permutations and combinations are used to compute probabilities of compound events.

Random Variables and Expected Value

Students define random variables, graph probability distributions, and calculate expected values. They develop distributions from both theoretical probabilities and empirical data. Expected value is then applied to real decisions — from fair games to product testing to medical screening — using probability to weigh outcomes and analyze strategies.

How StudyPug Helps Wyoming Statistics Students

Every topic in this course has a dedicated video lesson and practice problems on StudyPug. Students working through Wyoming high school Statistics can find the exact standard they need, watch a clear explanation, and then practice until they feel confident. Whether it's homework help the night before a test or reviewing a concept from earlier in the year, StudyPug is available anytime on any device.