Topic: Interpreting Categorical and Quantitative Data |
Common Core Mathematics 9-12 |
| Cluster Summarize, represent, and interpret data on a single count or
measurement variable |
| | Grade 9-12 |
| | | S.ID.1. | Represent data with plots on the real number line (dot plots,
histograms, and box plots). |
| | | S.ID.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. |
| | | S.ID.3. | Interpret differences in shape, center, and spread in the context of
the data sets, accounting for possible effects of extreme data points
(outliers). |
| | | S.ID.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. |
| Cluster Summarize, represent, and interpret data on two categorical and quantitative variables |
| | Grade 9-12 |
| | | S.ID.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. |
| | | S.ID.6. | Represent data on two quantitative variables on a scatter plot, and
describe how the variables are related. |
| | | S.ID.6.a. | Fit a function to the data; use functions fitted to data to solve
problems in the context of the data. Use given functions or choose
a function suggested by the context. Emphasize linear, quadratic, and
exponential models. |
| | | S.ID.6.b. | Informally assess the fit of a function by plotting and analyzing
residuals. |
| | | S.ID.6.c. | Fit a linear function for a scatter plot that suggests a linear
association. |
| Cluster Interpret linear models |
| | Grade 9-12 |
| | | S.ID.7. | Interpret the slope (rate of change) and the intercept (constant term)
of a linear model in the context of the data. |
| | | S.ID.8. | Compute (using technology) and interpret the correlation coefficient
of a linear fit. |
| | | S.ID.9. | Distinguish between correlation and causation. |