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Trip Planner: How Different Are the Travel Times? worksheet preview

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Trip Planner: How Different Are the Travel Times?

Compare bus and subway travel-time distributions using MAD, IQR, visual overlap, and center gaps measured in spread units.

Grade 7MathInteractive · Printable

Aligned to7.SP.B.3

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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 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students express differences between distribution centers in units of MAD or IQR.
  • Students use similar spreads and visual overlap to compare bus and subway travel times.
  • Students distinguish differences in typical travel times from claims about individual trips.

How to use

Use after teaching MAD and IQR. Have students annotate the box plots and show their gap-to-spread calculations before discussing the final explanation.

Curriculum

Common Core standard covered

7.SP.B.3

Judge how much two data sets with similar spread overlap, measuring the gap between their centers in units of that spread.

Preview

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Name Date

Trip Planner: How Different Are the Travel Times?

Compare bus and subway travel times using center gaps and spread.

Compare Recorded Trips

All times include walking, waiting, and riding. MAD means mean absolute deviation. Measure center separation as a nonnegative distance.

Eight Trips to the Community Center
RouteTravel times (min)Mean (min)
Bus18, 18, 20, 22, 22, 24, 26, 2622
Subway13, 13, 15, 17, 17, 19, 21, 2117
1.
Compare the sorted records. Which description fits every position in the two lists?
  • A. Each subway time is 5 minutes greater than the corresponding bus time.
  • B. Each subway time is half the corresponding bus time.
  • C. Each subway time is 4 minutes less than the corresponding bus time.
  • D. Each subway time is 5 minutes less than the corresponding bus time.
2.
The bus mean is 22 minutes. Its eight absolute deviations are 4, 4, 2, 0, 0, 2, 4, and 4 minutes.

What is the bus MAD?   minutes

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