DelawareDelaware High School Statistics Curriculum
Video lessons and practice for every Statistics topic. Aligned to Delaware Math Content Standards so students can keep up with class or get ahead.
Delaware 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). |
Delaware High School Statistics: What Students Learn
High school Statistics in Delaware covers a wide range of skills that help students collect, analyze, and interpret data. Aligned to the Delaware Math Content Standards, the course moves from foundational data displays to advanced probability and statistical inference.
Data Analysis and Distributions
Students begin by representing data using dot plots, histograms, and box plots. They compare data sets using measures of center — mean and median — and measures of spread such as interquartile range and standard deviation. Students also learn to identify outliers and explain how they affect overall data interpretation.
- Dot plots, histograms, and box plots
- Mean, median, interquartile range, and standard deviation
- Effects of outliers on shape, center, and spread
- Fitting data to a normal distribution and estimating population percentages
- Two-way frequency tables and relative frequencies
Regression and Correlation
Delaware Statistics students explore relationships between two quantitative variables using scatter plots. They compute and interpret correlation coefficients using technology and learn the critical distinction between correlation and causation.
- Scatter plots for two quantitative variables
- Computing and interpreting the correlation coefficient
- Distinguishing correlation from causation
Statistical Inference and Sampling
A major focus of high school Statistics is understanding how data from samples can be used to draw conclusions about populations. Students distinguish between sample surveys, experiments, and observational studies, and explore how randomization affects each.
- Inferences about population parameters from random samples
- Sample surveys, experiments, and observational studies
- Margin of error through simulation models
- Comparing two treatments using randomized experiments
- Evaluating reports based on data
Probability
Students develop a strong foundation in probability, including independent events, conditional probability, and the Addition and Multiplication Rules. They work with two-way tables to approximate conditional probabilities and apply probability concepts to real-world scenarios.
- Independent events and the Multiplication Rule
- Conditional probability: P(A|B) = P(A and B)/P(B)
- Addition Rule: P(A or B) = P(A) + P(B) − P(A and B)
- Permutations and combinations for compound events
- Two-way frequency tables as sample spaces
Random Variables and Expected Value
The course concludes with random variables and probability distributions. Students define random variables, graph probability distributions, and calculate expected values. They also apply expected value to real decisions and analyze strategies using probability concepts.
- Defining and graphing random variables
- Expected value as the mean of a probability distribution
- Theoretical and empirical probability distributions
- Using expected value to weigh outcomes and make fair decisions
- Analyzing real-world decisions and strategies with probability
How StudyPug Helps Delaware Statistics Students
StudyPug breaks every Delaware Math Content Standards Statistics topic into short, clear video lessons students can watch at their own pace. After each lesson, practice problems with step-by-step explanations help reinforce understanding. Whether a student needs homework help tonight or wants to prepare for an upcoming test, StudyPug is available on any device, anytime.