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Statistics and Probability

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you compare the center and spread of two data sets, and choose statistics appropriate to the shape?

Use statistics appropriate to the shape of a distribution to compare center (mean, median) and spread (range, IQR, standard deviation), and interpret differences in context (TN A1.S.ID.A.2, A1.S.ID.A.3).
A TNReady Algebra I answer on comparing center and spread (TN A1.S.ID.A.2-3), mean versus median, range, IQR, and standard deviation, choosing statistics by shape, and the effect of outliers.
10 min answer →

What does the correlation coefficient tell you about a linear relationship, and why does correlation not imply causation?

Interpret the correlation coefficient of a linear fit and distinguish correlation from causation (TN A1.S.ID.C.8, A1.S.ID.C.9).
A TNReady Algebra I answer on the correlation coefficient (TN A1.S.ID.C.8-9), reading r between -1 and 1 for direction and strength, and why a correlation does not prove one variable causes another.
9 min answer →

How do you represent a single-variable data set with dot plots, histograms, and box plots, and read each display?

Represent data with plots on the real number line, including dot plots, histograms, and box plots, and read the five-number summary from a box plot (TN A1.S.ID.A.1).
A TNReady Algebra I answer on representing single-variable data (TN A1.S.ID.A.1), dot plots, histograms, and box plots, and reading the median, quartiles, and range from a box plot.
10 min answer →

How do you fit a line to bivariate data on a scatter plot, and interpret its slope and intercept in context?

Represent two quantitative variables on a scatter plot, describe the relationship, fit a linear model, and interpret its slope and intercept in context (TN A1.S.ID.C.6, A1.S.ID.C.7).
A TNReady Algebra I answer on scatter plots and linear models (TN A1.S.ID.C.6-7), describing association, fitting a line of best fit, interpreting slope and intercept, and predicting with the model.
10 min answer →

How do you summarize two categorical variables in a two-way frequency table, and compute joint, marginal, and conditional relative frequencies?

Summarize categorical data for two categories in two-way frequency tables, and interpret joint, marginal, and conditional relative frequencies (TN A1.S.ID.C.5).
A TNReady Algebra I answer on two-way frequency tables (TN A1.S.ID.C.5), reading joint and marginal totals, and computing conditional relative frequencies as a fraction of a row or column.
9 min answer →