## 4. Why the best figure skater doesn’t always win

January 23, 2014According to the fab NBC video, Mathletes, nine Figure Skating judges score competitors for the complexity of each element (eg. Triple axel or triple spin jump) and the quality of the performance producing a score out of ten.

This is a typical figure skating score card for one competitor.

The final score, however, is based on the average for only 5 of these scores. Two are eliminated by random selection (Red Brackets). Then the top and bottom scores are removed and the remaining five scores averaged.

## ……………………………………………………

# Now consider the IDENTICAL SCORE CARDS

# of Skater A & B:

# Skater A:

Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them)

## 7.00 + 7.00 + 7.00 + 6.75 + 7.00

## ……………………………………..

## = 34.75/ 5 = 6.95

# Skater B:

Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them). But this time the random selector eliminates two low scores.

The average:

## 7.00 + 7.25 + 7.00 + 7.00 + 7.00

## ……………………………………..

## = 35.25/ 5 = 7.05

Same score cards but Skater B gets a higher average score than Skater A.

Skater A is, in fact, beaten by a random number selector!!!!

[…] 4. Why the best figure skater doesn’t always win […]

by MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue | Mathspig January 23, 2014 at 6:15 am