New MexicoNew Mexico High School Statistics Curriculum
Video lessons and practice for every high school Statistics topic. Aligned to New Mexico Mathematics Standards so students can keep up with class or get ahead.
New Mexico 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). |
New Mexico High School Statistics: What Students Learn
High school Statistics in New Mexico covers a wide range of skills that help students collect, analyze, and interpret data. Following the New Mexico Mathematics Standards, this course builds quantitative reasoning that supports college and career readiness.
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 the shape of a distribution — including the effects of outliers — is a core skill throughout the course.
- Fitting data to normal distributions and estimating population percentages
- Interpreting two-way frequency tables for categorical data
- Analyzing scatter plots and describing relationships between quantitative variables
- Computing and interpreting correlation coefficients using technology
- Distinguishing between correlation and causation
Statistical Inference and Sampling
New Mexico Statistics students explore how data from random samples can be used to make inferences about populations. Topics include margin of error, simulation models, and the differences among surveys, experiments, and observational studies.
- Estimating population means and proportions from sample data
- Using simulation to evaluate randomized experiments
- Evaluating reports and conclusions based on data quality
Probability
Probability is a major component of high school Statistics. Students work with independent events, conditional probability, and the addition and multiplication rules. They also apply permutations and combinations to solve compound probability problems.
- Independent and conditional probability using two-way tables
- Addition Rule: P(A or B) = P(A) + P(B) − P(A and B)
- General Multiplication Rule for uniform probability models
- Permutations and combinations 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, then apply expected value to real-world decisions and strategies.
- Graphing probability distributions for random variables
- Finding expected value from theoretical and empirical distributions
- Weighing outcomes by assigning probabilities to payoff values
- Analyzing decisions and strategies using probability concepts
How StudyPug Supports New Mexico Statistics Students
StudyPug provides video lessons and practice problems for every topic in the New Mexico high school Statistics curriculum. Students can search by topic, watch a short lesson, and immediately practice what they learned — all aligned to New Mexico Mathematics Standards. Whether a student needs help with scatter plots, probability rules, or statistical inference, StudyPug covers it step by step.