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FloridaMaths

Data Analysis 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 calculate and compare measures of center (mean, median) and spread (range, IQR, standard deviation), and choose the right one for a distribution?

Calculate and interpret measures of center (mean, median) and spread (range, interquartile range, standard deviation), and choose appropriate measures based on the shape of the distribution and the presence of outliers (MA.912.DP.1.2, MA.912.DP.1.3).
A B.E.S.T. Algebra 1 EOC answer on center and spread (MA.912.DP.1), mean versus median, range and interquartile range, how outliers pull the mean, and choosing the resistant measure.
10 min answer →

What does the correlation coefficient tell you, why does correlation not imply causation, and how do residuals show whether a linear model fits?

Interpret the correlation coefficient as a measure of the strength and direction of a linear association, distinguish correlation from causation, and use residuals to assess the fit of a linear model (MA.912.DP.2.6, MA.912.DP.2.8, MA.912.DP.2.9).
A B.E.S.T. Algebra 1 EOC answer on correlation (MA.912.DP.2), reading the correlation coefficient r, why correlation does not prove causation, lurking variables, and using residuals to judge a linear fit.
11 min answer →

How do you read and interpret dot plots, histograms, and box plots, and describe the shape of a distribution?

Represent and interpret univariate numerical data using dot plots, histograms, and box plots, and describe the shape (symmetric, skewed left, skewed right) of a distribution (MA.912.DP.1.1, MA.912.DP.1.2).
A B.E.S.T. Algebra 1 EOC answer on data displays (MA.912.DP.1), reading dot plots, histograms, and box plots, the five-number summary, and describing a distribution as symmetric or skewed.
10 min answer →

How do you fit a line to bivariate data, interpret its slope and intercept, and use it to predict?

Fit a linear function to bivariate numerical data on a scatter plot, interpret the slope and intercept in context, and use the model to make predictions (MA.912.DP.2.4, MA.912.DP.2.5).
A B.E.S.T. Algebra 1 EOC answer on bivariate data (MA.912.DP.2), describing scatter-plot association, fitting a line of best fit, interpreting its slope and intercept, and predicting with interpolation versus extrapolation.
11 min answer →

How do you read a two-way frequency table and compute joint, marginal, and conditional relative frequencies?

Construct and interpret two-way frequency tables of categorical data, and calculate joint, marginal, and conditional relative frequencies (MA.912.DP.2.4, MA.912.DP.3.1).
A B.E.S.T. Algebra 1 EOC answer on two-way frequency tables (MA.912.DP.2), reading the cells and totals, and computing joint, marginal, and conditional relative frequencies as fractions of the right total.
10 min answer →