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Phone Plans: Put the Gap in Perspective worksheet preview

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Phone Plans: Put the Gap in Perspective

Compare phone-plan bills and download speeds. Express center gaps in MAD or IQR units and use data displays to judge overlap.

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, Sorting, Short answer

About this worksheet

What students practice

  • Students express differences between centers in units of a shared or similar measure of spread.
  • Students distinguish overlap of observed intervals from overlap of the middle 50% of distributions.
  • Students use center gaps and spreads to evaluate phone-plan comparisons.

How to use

Use after teaching MAD and IQR. Have students mark overlapping intervals on the box plots, then discuss how spread changes the meaning of a center gap.

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

Phone Plans: Put the Gap in Perspective

Compare monthly bills and download speeds using centers, spreads, and overlap.

Compare Monthly Bills

Use the six recorded bills for each plan. MAD means mean absolute deviation. Include endpoints when comparing intervals.

Monthly Bills from Two Independent Samples
PlanBills ($)Mean ($)MAD ($)
Metered20, 24, 28, 28, 32, 36284
Bundle26, 30, 34, 34, 38, 42344
1.
An observed interval extends from a sample's lowest bill to its highest bill. Sort these possible bill amounts by the intervals they fall inside. An amount need not appear in the records.
$35$40$22$26
Metered interval onlyBoth intervalsBundle interval only
2.
The Bundle sample contains six bills and has a MAD of $4. MAD is the sum of the absolute distances from the mean divided by the number of bills.

What is the sum of those six absolute distances? $ 

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