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Trail Maps: Choosing Useful Summaries worksheet preview

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Trail Maps: Choosing Useful Summaries

Choose and justify measures of center and variation using trail-map elevation data, distribution shapes, and hiking decisions.

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
  • 14 questions
  • Classroom-ready

Details

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

About this worksheet

What students practice

  • Students choose measures of center and variation based on distribution shape and unusual values.
  • Students explain how the purpose of a hiking summary affects the choice of statistical measures.
  • Students compare trail elevation data using appropriate measures of center and variation.

How to use

Use after teaching mean, median, mean absolute deviation, and interquartile range. Have students connect each choice to both the data shape and the hiking 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

Trail Maps: Choosing Useful Summaries

Use the shape of elevation data to choose measures of center and variation.

Read the Elevation Pattern

Each trail is divided into equal-length sections. Elevation gain is the total uphill climb within a section, not its ending elevation. MAD means mean absolute deviation; IQR means interquartile range.

Cedar Trail: Gains Read from the Trail Map
SectionElevation gain (m)
110
215
315
420
520
625
725
830
1.
Which description best fits the distribution of Cedar Trail's section gains?
  • A. It is symmetric around 20 m, with no isolated extreme gain.
  • B. It has no variation because all sections are equally long.
  • C. It has a long tail toward the smaller gains.
  • D. It has a long tail toward the larger gains.
2.
Find Cedar Trail's mean gain. Then find the average distance of the gains from that mean.

Mean:   m; MAD:   m

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