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Class Trip Budget: What Do the Summaries Tell Us?

Choose and justify measures of center and variation for bus quotes, meal costs, and museum tickets in a class trip budget.

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, Short answer

About this worksheet

What students practice

Students explain when mean and MAD or median and IQR fit a distribution and its context.
Students interpret cost summaries and recognize when separate group summaries are more useful.

How to use

Use after teaching mean, median, MAD, and IQR. Ask students to connect each recommendation to both the display and the budget question.

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

Class Trip Budget: What Do the Summaries Tell Us?

Use data shape and budget goals to choose meaningful summaries.

Bus Quotes

Choose summaries that fit the data and the planning goal. MAD is the mean absolute deviation; IQR is Q3 − Q1.

The class collected these quotes for the same bus service. Which report best connects the display to a useful summary?

A. Use mean and MAD because the quotes are roughly balanced without isolated extremes.
B. Use mean and range because every quote falls in the same interval.
C. Use median and IQR because the quotes have a long right tail.
D. Use median and range because most quotes are at the two ends.

From the original quotes, the class calculates a mean of $600 and a MAD of $40. Select the two supported interpretations.

Every quote is between $560 and $640.The quotes are an average of $40 away from $600.The middle half of the quotes spans exactly $40.The mean describes the center, while MAD describes spread around that center.

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