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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
Explain why a measure of center and variation fits a data set, based on its shape and context.
Preview
OwlSheets.com
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.
| Section | Elevation gain (m) |
|---|---|
| 1 | 10 |
| 2 | 15 |
| 3 | 15 |
| 4 | 20 |
| 5 | 20 |
| 6 | 25 |
| 7 | 25 |
| 8 | 30 |
- 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.
Mean: m; MAD: m
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