NY Next Generation Math AII-S.IC.6.a

MathGrades 9–12Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

The Standard

Use the tools of statistics to draw conclusions from numerical summaries.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students use numerical summaries to draw conclusions about data. They select and compare appropriate measures of center, spread, position, or association while respecting the study context.

What Mastery Looks Like

The student cites specific summary values and writes a conclusion that matches them. The chosen statistics fit the distribution shape, variable type, and question.

Common Misconceptions

Students may list statistics without making a conclusion or compare means when outliers make medians more informative. They may ignore units and practical size.

How to Assess It

Give two groups' numerical summaries and a contextual question. Ask students to choose relevant statistics and write one supported conclusion.

Lesson moves

Ways to Teach It

  1. Arrange summary-statistic cards beside two box plots and build a supported comparison statement.

  2. Ask when a median and interquartile range support a stronger conclusion than a mean and standard deviation.

  3. Play evidence or distraction by sorting numerical summaries for a stated statistical question.

  4. Compare performance, wait-time, or cost summaries to make a practical recommendation.

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Printable AII-S.IC.6.a Worksheet

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