IowaIowa High School Statistics and Probability
Video lessons and practice for every Statistics and Probability topic. Aligned to Iowa Core Math Standards so Iowa students can keep up with class or get ahead.
Iowa High School Statistics and Probability | 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 and Probability in Iowa
Iowa high school students taking Statistics and Probability work through some of the most practical and widely used math skills available. From reading a box plot to understanding why correlation doesn't mean causation, this course prepares students to think critically about data in everyday life. Every topic on this page aligns to the Iowa Core Math Standards.
Data Analysis and Distributions
Students start by learning how to represent data visually using dot plots, histograms, and box plots. From there, they compare data sets using measures of center like mean and median, and measures of spread like interquartile range and standard deviation. Understanding how outliers affect distributions is a key skill at this level.
- Dot plots, histograms, and box plots
- Mean, median, interquartile range, and standard deviation
- Normal distributions and estimating areas under the normal curve
- Two-way frequency tables and relative frequencies
- Scatter plots, correlation coefficients, and linear regression
Probability
The probability unit covers both foundational rules and more advanced concepts. Students learn the difference between independent and dependent events, how to apply the Addition Rule and Multiplication Rule, and how to calculate conditional probabilities. Permutations and combinations are also introduced for counting compound events.
- Independent events and the Multiplication Rule
- Conditional probability and the Addition Rule
- Two-way tables as sample spaces
- Permutations and combinations for compound events
Random Variables and Expected Value
Students define random variables, build probability distributions, and calculate expected values. They learn to weigh outcomes by probability to support real decision-making, and they analyze strategies using probability concepts drawn from everyday situations.
Statistical Inference
This section introduces statistics as a tool for drawing conclusions about populations from sample data. Students distinguish between sample surveys, experiments, and observational studies. They use simulation to estimate margins of error, evaluate the significance of differences between treatments, and assess the quality of reports based on data.
- Random sampling and margin of error
- Randomized experiments and simulation
- Evaluating data reports
StudyPug has video lessons and practice problems for every one of these topics, all aligned to Iowa Core Math Standards. Whether your student needs help catching up or wants to get ahead, StudyPug makes it easy to find exactly the topic they need.