CCSS.Math.Content.7.SP.B

CCSS.Math.Content.7.SP.B is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.7.SP.B.3

  Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by e...

• CCSS.Math.Content.7.SP.B.4

  Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

01

What Students Need to Do

Students use random samples to compare two larger groups. They examine graphs, measures of center, variability, and overlap to make a supported informal conclusion.

02

What Mastery Looks Like

Students compare sample graphs and statistics from two populations. They make a reasonable claim and support it with differences in center, spread, and overlap.

03

Common Misconceptions

Students may treat a small difference between sample means or medians as proof that the populations differ. They may ignore spread and overlap, or assume one sample perfectly represents its population.

04

How to Assess It

Give students two box plots. Ask which population tends to have larger values, then require evidence about center, spread, and overlap.

1. 01

   Measure hand spans from two grade levels, make dot plots, and compare centers, spreads, and overlap.

2. 02

   Show two box plots and ask students to write a claim about the populations using three pieces of statistical evidence.

3. 03

   Draw sample cards from two population bags, calculate medians, and award points for accurate comparisons that mention variability.

4. 04

   Compare commute times for bus riders and car riders using class survey data, then discuss what the samples suggest about each group.

• CCSS.Math.Content.7.SP.A

  Use random sampling to draw inferences about a population.

• CCSS.Math.Content.7.SP.A.2

  Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples)...

• CCSS.Math.Content.K.MD.A.2

  Directly compare two objects with a measurable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference.