In grades 6-8 all students should
- NM-DATA.9-12.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer
- NM-DATA.9-12.2: Select and use appropriate statistical methods to analyze data
- NM-DATA.9-12.3: Develop and evaluate inferences and predictions that are based on data
- NM-DATA.9-12.4: Understand and apply basic concepts of probability
|
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer
- understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each;
-
know the characteristics of well-designed studies, including the role of randomization in surveys and experiments;
- understand the meaning of measurement data and categorical data, of univariate and bivariate data, and of the term variable;
- understand histograms, parallel box plots, and scatterplots and use them to display data;
- compute basic statistics and understand the distinction between a statistic and a parameter.
[Source]
|
Select and use appropriate statistical methods to analyze data
- for univariate measurement data, be able to display the distribution, describe its shape, and select and calculate summary statistics;
- for bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools;
- display and discuss bivariate data where at least one variable is categorical;
- recognize how linear transformations of univariate data affect shape, center, and spread;
- identify trends in bivariate data and find functions that model the data or transform the data so that they can be modeled.
[Source]
|
Develop and evaluate inferences and predictions that are based on data
- use simulations to explore the variability of sample statistics from a known population and to construct sampling distributions;
- understand how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference;
- evaluate published reports that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions;
- understand how basic statistical techniques are used to monitor process characteristics in the workplace.
[Source]
|
Understand and apply basic concepts of probability
- understand the concepts of sample space and probability distribution and construct sample spaces and distributions in simple cases;
- use simulations to construct empirical probability distributions;
- compute and interpret the expected value of random variables in simple cases;
- understand the concepts of conditional probability and independent events;
- understand how to compute the probability of a compound event.
[Source]
|
|
