โ† 6th Grade Math ๐Ÿ† GM of the Year
Unit 5 ยท Statistics & Probability ยท 6.SP

๐ŸŽฎ Esports General Manager

You're the head coach scouting players for a world tournament. Read the story inside the numbers โ€” the middle, the average, and how consistent a player really is.

Deconstruct

The core idea

Mean is the average (sensitive to outliers). Median is the middle value (resists outliers). MAD (mean absolute deviation) measures consistency โ€” how far, on average, the scores sit from the mean. Lower MAD = more reliable.

Do ยท Live-Draggable Data Plot

Drag a score and watch the story change

Each dot is a match score (0โ€“20). Drag the outlier toward the pack โ€” see the mean move a lot while the median barely budges.

โ€”
mean
โ€”
median
โ€”
MAD (consistency)

Tip: drag the dot at 14 down to 7 and watch the mean fall toward the median.

Deliver ยท Boss Level

๐Ÿ“‹ The Draft Day Pitch

Two players to sign, last 5 matches each. Both average 8 โ€” so the tiebreaker is consistency (lower MAD). Compute and choose.

Player A: 7, 8, 8, 9, 8  ยท  Player B: 4, 12, 8, 5, 11

1. Player A's MAD? Mean is 8. Average the distances from 8.
2. Player B's MAD? Mean is 8. Average the distances from 8.
3. Sign the more consistent player (lower MAD):
๐Ÿ† Smart signing! You earned the GM of the Year badge โ€” saved to this device.

Grounded in CA CCSS-M, Grade 6 ยท 6.SP (measures of center: mean & median; variability: mean absolute deviation). Part of the 4-D series.