Public learning track
Univariate Data: Measures of Center, Dispersion, and Linear Transformations
10th Grade · Math · Open Global Math
7 lessons
Goal
Calculate and interpret central tendency and spread parameters for populations and samples, analyzing the effects of linear data transformations.
Featured Diagrams
Calculating the Mean, Median, Mode, and Range of Raw Data Sets
7 lessons
0 of 7 done
- 1Calculating the Mean, Median, Mode, and Range of Raw Data SetsUp nextStart
- 2Estimating the Mean and Modal Class from Grouped Frequency TablesPremiumNot started yet
- 3Distinguishing Population Parameters (μ, σ) from Sample Statistics (x̄, s)Not started yet
- 4Calculating Population and Sample Variance and Standard DeviationNot started yet
- 5Calculating Standard Deviation from Frequency TablesNot started yet
- 6Linear Coding of Data: Effects on Mean and Standard DeviationNot started yet
- 7Evaluating Robustness: Mean and Standard Deviation vs. Median and IQRNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
8 lessons
Univariate Data: Visual Displays, Frequency Distributions, and Ogives
Construct and interpret visual representations of quantitative data including histograms, dot plots, box plots, and cumulative frequency curves.
2
7 lessons
Univariate Data: Measures of Center, Dispersion, and Linear Transformations
Calculate and interpret central tendency and spread parameters for populations and samples, analyzing the effects of linear data transformations.
3
7 lessons
Combinatorics, Sample Spaces, and Theoretical Probability
Apply the fundamental counting principle, permutations, combinations, and sample space models to compute exact probabilities.
4
7 lessons
Compound Probability, Conditional Events, and Risk Analysis
Solve multi-event probability problems using Venn diagrams, tree diagrams, two-way tables, conditional formulas, and risk metrics.
5
9 lessons
Discrete Random Variables and Binomial Probability Models
Define discrete probability mass functions, compute expected values and variances, and model Bernoulli/Binomial processes.
6
8 lessons
Continuous Random Variables and the Normal Distribution
Analyze the normal distribution curve, compute z-scores, and calculate probabilities and percentiles using the standard normal model.
7
7 lessons
Bivariate Quantitative Data: Scatter Plots and Linear Regression
Analyze bivariate relationships, fit least-squares regression lines, interpret correlation coefficients, and examine residuals.
8
7 lessons
Correlation vs. Causation, Media Literacy, and Inferential Reasoning
Critique statistical claims in media, differentiate correlation from causation, and evaluate sampling designs and inferential validity.