ConnecticutConnecticut Probability & Statistics Curriculum
Video lessons and practice for every Probability/Statistics topic. Aligned to Connecticut Core Standards Math. Get help with data, probability, and more.
Connecticut Probability & 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). |
Connecticut High School Probability and Statistics
Probability and Statistics is a foundational high school math course for Connecticut students. It builds the skills needed to read, interpret, and draw conclusions from real-world data. StudyPug covers every topic aligned to Connecticut Core Standards Math, so students always know they are studying the right material.
Data Analysis and Distributions
Students start by learning how to represent data using dot plots, histograms, and box plots. They then compare data sets by examining center (mean and median) and spread (interquartile range and standard deviation). Understanding how outliers affect a data set is also a key skill covered in this section.
- Represent data with dot plots, histograms, and box plots
- Compare center and spread of two or more data sets
- Interpret the effect of outliers on shape, center, and spread
- Use the normal distribution to estimate population percentages
Bivariate Data and Correlation
Students learn to display two-variable data on scatter plots and describe relationships between variables. They calculate and interpret the correlation coefficient and understand the critical difference between correlation and causation.
- Create and interpret scatter plots for quantitative variables
- Compute correlation coefficients using technology
- Distinguish between correlation and causation
- Summarize categorical data in two-way frequency tables
Statistical Inference and Sampling
This section introduces statistics as a formal process for making inferences about populations using sample data. Students explore sample surveys, experiments, and observational studies, and learn how randomization affects each method.
- Understand sampling as a basis for population inference
- Recognize differences among surveys, experiments, and observational studies
- Estimate population means and proportions with margin of error
- Evaluate reports and conclusions based on data
Probability Rules and Conditional Probability
Students study the rules of probability including independence, conditional probability, the Addition Rule, and the Multiplication Rule. They apply these rules in everyday contexts and use two-way tables to approximate probabilities.
- Understand and apply the concept of independent events
- Calculate conditional probability using P(A and B)/P(B)
- Apply the Addition Rule and general Multiplication Rule
- Use permutations and combinations to find compound event probabilities
Random Variables and Expected Value
Students define random variables and construct probability distributions. They calculate expected values and use them to analyze decisions, weigh outcomes, and evaluate strategies in real-world contexts.
- Define random variables and graph probability distributions
- Calculate expected value as the mean of a probability distribution
- Develop distributions from theoretical and empirical probabilities
- Use expected values to analyze decisions and strategies