HawaiiHawaii High School Statistics Curriculum
Video lessons and practice for every Statistics topic. Aligned to Hawaii Common Core Standards Math and what Hawaii high schools teach.
Hawaii High School Statistics Curriculum | StudyPugHelp
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). |
High School Statistics in Hawaii
Hawaii high school Statistics builds the skills students need to understand data, probability, and statistical reasoning. The course follows Hawaii Common Core Standards Math and prepares students for college-level work in math, science, and social sciences.
Data Analysis and Distributions
Students learn to represent data using dot plots, histograms, and box plots. They compare data sets by examining center (mean and median) and spread (standard deviation and interquartile range). Understanding how outliers affect distributions is a key skill at this level.
- Dot plots, histograms, and box plots
- Mean, median, and measures of spread
- Normal distribution and estimating population percentages
- Two-way frequency tables and relative frequencies
Scatter Plots, Correlation, and Causation
Students explore relationships between two quantitative variables using scatter plots. They compute and interpret correlation coefficients and learn the critical distinction between correlation and causation — a concept that appears in science, medicine, and everyday reasoning.
Statistical Inference and Sampling
This unit covers how statistics is used to make inferences about populations from sample data. Students examine sample surveys, experiments, and observational studies, and learn how randomization affects conclusions. Simulation is used to develop margins of error and test the significance of results.
- Population parameters and random samples
- Sample surveys vs. experiments vs. observational studies
- Margin of error through simulation
- Evaluating reports based on data
Probability Rules and Conditional Probability
Students apply the Addition Rule and Multiplication Rule to calculate probabilities. Conditional probability and independence are explored through two-way tables and everyday contexts. Permutations and combinations are used to count outcomes for compound events.
Random Variables and Expected Value
Students define random variables, graph probability distributions, and calculate expected values. They develop distributions using both theoretical probabilities and empirical data. Expected value is applied to real-world decisions, from fair games to product testing strategies.