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Chess Tournament: A Rating Spread Audit worksheet preview

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Chess Tournament: A Rating Spread Audit

Analyze chess tournament ratings using mean, median, IQR, and MAD, then investigate how a late entry changes the distribution.

Grade 6MathInteractive · Printable

Aligned to6.SP.B.5.c

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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 calculate mean, median, interquartile range, and mean absolute deviation from rating data.
  • Students compare rating distributions using measures of center and variability.
  • Students explain how an extreme rating affects summary statistics and the distribution's pattern.

How to use

Have students show calculations on separate paper. Discuss why two groups can have the same IQR but different MADs before students analyze the late entry.

Curriculum

Common Core standard covered

6.SP.B.5.c

Find the median, mean, interquartile range, and mean absolute deviation, and describe the pattern and any striking outliers.

Preview

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Name Date

Chess Tournament: A Rating Spread Audit

Use center and variability to evaluate tournament rating groups.

Audit the Opening Group

Ratings describe players' estimated playing strength, not points earned in a game. Use the opening group for Questions 1–5. For quartiles, find the median of each half; exclude the overall median when there is an odd number of values.

Opening Group: Six Player Ratings
PlayerRating
Amira800
Ben840
Diego880
Jules920
Priya960
Sam1000
1.
Which calculation gives the median rating of the opening group?
  • A. (880 + 920) ÷ 2
  • B. (800 + 1000) ÷ 6
  • C. 880
  • D. 920
2.
The organizer checks the total rating before calculating the mean. Complete both values.

Total rating:   rating points. Mean rating:   rating points.

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