Qualifier formula
Standardized scores
Standardized scores use the standard deviation of individual judges’ scores to measure against their own average. This equalizes the weights between judges with a low score spread and those with a high score spread.
Standardized Score
=
Judge’s Raw Score − Judge’s Average Raw Score
sum of ( each score − average score )2
total scores
Every score in that square root is one of the scores that judge gave. 0 is exactly average for that judge; +1 is one standard deviation above, better than roughly five entries in six; −1 is one below.
Worked example
Suppose a judge scored five entries: 52, 58, 60, 64 and 66.
Their average
52 + 58 + 60 + 64 + 665
=
60
Their standard deviation
Each score’s distance from 60, squared:
( 52 − 60 )2 = 64 ( 58 − 60 )2 = 4 ( 60 − 60 )2 = 0
( 64 − 60 )2 = 16 ( 66 − 60 )2 = 36
64 + 4 + 0 + 16 + 365
=
24
→
24
=
4.90
One entry’s standardized score
Take the entry they scored 66:
Standardized Score
=
66 − 604.90
=
64.90
=
1.22
That entry sat 1.22 standard deviations above this judge’s average.