NY Next Generation Math NY-7.SP.4

Math7th GradeDraw informal comparative inferences about two populations.

The Standard

Use measures of center and measures of variability for quantitative data from random samples or populations to draw informal comparative inferences about the populations.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students compare quantitative data from random samples or populations using measures of center and variability. They draw informal conclusions using mean, median, mode, range, or interquartile range as appropriate.

What Mastery Looks Like

The student compares typical values and spread, then states a conclusion supported by the measures. The student identifies the groups and avoids claiming more than the samples support.

Common Misconceptions

Students may compare only means while ignoring very different spreads. They may treat a sample result as proof about every member of a population.

How to Assess It

Give summaries for two random samples with medians 12 and 17 and interquartile ranges 3 and 9. Ask students to compare center and variability in context.

Lesson moves

Ways to Teach It

  1. Calculate centers and spreads for two small data sets using cards arranged on number lines.

  2. Ask students which group appears typically larger and which is more variable, citing measures.

  3. Play Evidence Sort by matching comparative claims to data summaries that support or contradict them.

  4. Compare random samples of commute times from two neighborhoods using median and interquartile range.

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Printable NY-7.SP.4 Worksheet

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