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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
Find the median, mean, interquartile range, and mean absolute deviation, and describe the pattern and any striking outliers.
Preview
OwlSheets.com
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.
| Player | Rating |
|---|---|
| Amira | 800 |
| Ben | 840 |
| Diego | 880 |
| Jules | 920 |
| Priya | 960 |
| Sam | 1000 |
- A. (880 + 920) ÷ 2
- B. (800 + 1000) ÷ 6
- C. 880
- D. 920
Total rating: rating points. Mean rating: rating points.
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