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North CarolinaMaths

Descriptive Statistics

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 two data sets using measures of center and spread?

Use statistics appropriate to the shape of the distribution to compare center and spread of two or more data sets (NC.M1.S-ID.2).
An NC Math 1 EOC answer on center and spread (NC.M1.S-ID.2): mean versus median, range and IQR, choosing measures based on shape and outliers, and comparing two data sets.
10 min answer →

What does the correlation coefficient measure, and why does correlation not imply causation?

Use the correlation coefficient to describe the strength and direction of a linear relationship and distinguish correlation from causation (NC.M1.S-ID.8, S-ID.6c).
An NC Math 1 EOC answer on correlation (NC.M1.S-ID.8, S-ID.6c): what the correlation coefficient r measures, reading its sign and size, why correlation does not imply causation, and assessing fit with residuals.
10 min answer →

How do you represent a single data set and describe the shape of its distribution?

Represent data with dot plots, histograms, and box plots, and interpret the shape of a distribution (NC.M1.S-ID.1, S-ID.3).
An NC Math 1 EOC answer on representing data (NC.M1.S-ID.1, S-ID.3): reading and building dot plots, histograms, and box plots, and describing distribution shape, symmetry, skew, and outliers.
10 min answer →

How do you fit a linear model to two-variable data and interpret its slope and intercept?

Represent two quantitative variables on a scatter plot, fit a linear model, and interpret slope and intercept in context (NC.M1.S-ID.6, S-ID.7).
An NC Math 1 EOC answer on scatter plots and linear models (NC.M1.S-ID.6, S-ID.7): describing form and strength, fitting a line of best fit, using it to predict, and interpreting slope and intercept in context.
11 min answer →

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

Summarize two-variable categorical data in two-way tables and interpret joint, marginal, and conditional relative frequencies (NC.M1.S-ID.5).
An NC Math 1 EOC answer on two-way frequency tables (NC.M1.S-ID.5): reading counts, computing joint, marginal, and conditional relative frequencies, and recognizing possible association between two categorical variables.
11 min answer →