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Level Balance: What the Score Summaries Miss worksheet preview

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Level Balance: What the Score Summaries Miss

Interpret center and variation in game playtest scores, complete data sets, and examine what summary statistics cannot reveal.

Grade 6MathInteractive · Printable

Aligned to6.SP.A.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 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students distinguish a summary of typical values from a summary of how much values differ.
  • Students construct and interpret score sets using measures of center and variation.
  • Students explain why center and variation do not reveal every feature of a data set.

How to use

Use after introducing mean, median, and range. Have students work independently, then discuss which balancing decisions require more than one statistic.

Curriculum

Common Core standard covered

6.SP.A.3

Know that a measure of center sums up the data with one number, while a measure of variation tells how much values differ.

Preview

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Level Balance: What the Score Summaries Miss

Use center and variation to evaluate a video game studio’s playtests.

Read the Studio’s Review Notes

A studio is testing scores from new game levels. Mean and median describe center. Range describes variation and equals the greatest value minus the least value.

1.
A review note says, “The mean score was 48 points.” Which question does this number answer?
  • A. What single value summarizes the scores’ center?
  • B. What was the highest score earned by a player?
  • C. How many players earned exactly the same score?
  • D. How many points separated the highest and lowest scores?
2.
Select the two review notes that describe variation in scores.

Scores were tightly grouped between 46 and 50 points.The middle score in the ordered list was 48 points.The mean score was 48 points.The highest score exceeded the lowest by 4 points.Twelve players tested the level.

3.
Four players scored 34, 38, 42, and 46 points. Their mean was 40 points. Which interpretation is correct?
  • A. The mean must be one of the recorded scores.
  • B. The mean proves that every score is close to 40.
  • C. The mean shows a 40-point gap between scores.
  • D. The center can be a value that no player scored.

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