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Recycling Drive: What Should the Report Say?

Students evaluate measures of center and variation for recycling-drive data, considering distribution shape and reporting goals.

Grade 6MathInteractive · Printable

Aligned to6.SP.B.5.d

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

Students justify measures of center and variation using distribution shape and context.
Students explain when a single summary can hide important differences within a data set.
Students interpret MAD and IQR in recycling-drive reports.

How to use

Use after teaching mean, median, MAD, and IQR. Have students evaluate each report's purpose before choosing statistics, then discuss the final editorial decision.

Curriculum

Common Core standard covered

6.SP.B.5.d

Explain why a measure of center and variation fits a data set, based on its shape and context.

Preview

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Name Date

Recycling Drive: What Should the Report Say?

Choose summaries that fit the data and the report's purpose.

Paper: One Center or Two Groups?

Read the display and evaluate the reporting choices. Each interval includes its lower endpoint but not its upper endpoint.

The exact weights have a mean of 15 lb. Why would “A typical donation weighed about 15 lb” be a weak description?

A. The mean falls in a gap between two groups of donations.
B. The display shows that all donations weighed less than the mean.
C. The display shows that most donations weighed exactly the mean.
D. The mean must equal the weight of the heaviest donation.

The smaller donations came from households, and the larger donations came from offices. Select the two reporting choices that would help readers understand the pattern.

Report a center and variation separately for households and offices.Describe all donations as tightly grouped around 15 lb.Include the histogram so readers can see the two clusters.Remove office donations because their weights are above the mean.

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