UtahIntroductory Statistics
Utah Introductory Statistics Curriculum
Video lessons and practice for every Introductory Statistics topic. Aligned to Utah Core Standards Math so Utah high school students can keep up or get ahead.
Utah Introductory 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). |
Introductory Statistics Topics Covered
This course covers all major areas of high school statistics as outlined in the Utah Core Standards Math. Students work through data analysis, probability, and statistical inference in a logical sequence that builds understanding at every step.
- Representing data with dot plots, histograms, and box plots
- Comparing center and spread using mean, median, IQR, and standard deviation
- Interpreting shape, outliers, and differences between data sets
- Fitting data to a normal distribution and estimating population percentages
- Two-way frequency tables and conditional relative frequencies
- Scatter plots, correlation coefficients, and linear regression
- Distinguishing correlation from causation
- Statistical inference and margin of error from sample surveys
- Randomized experiments and significance of differences between parameters
- Evaluating reports based on data
Probability Topics in Introductory Statistics
Students explore the foundations of probability, including independence, conditional probability, and probability rules. These concepts prepare students for advanced math and real-world decision-making.
- Independent events and the multiplication rule for probability
- Conditional probability using two-way tables and everyday situations
- Addition Rule: P(A or B) = P(A) + P(B) - P(A and B)
- General Multiplication Rule: P(A and B) = P(A)P(B|A)
- Permutations and combinations for compound events
Random Variables and Expected Value
This section introduces random variables and probability distributions, helping students connect data analysis skills to theoretical probability models.
- Defining random variables and graphing probability distributions
- Calculating and interpreting expected value as the mean of a distribution
- Building probability distributions from theoretical and empirical data
- Using expected values to analyze decisions and strategies
- Applying probability to fair decisions and real-world scenarios like medical testing
How StudyPug Supports Utah Introductory Statistics Students
StudyPug's video lessons follow the Utah Core Standards Math sequence for Introductory Statistics. Each lesson is short enough to fit into a homework session and detailed enough to replace a missed class. Students can search by topic, watch the lesson, and immediately practice with problems that mirror what their teacher assigns.
Whether a student is preparing for an upcoming test, catching up after an absence, or working ahead, StudyPug provides the support they need at every stage of the course.