Finding Normal Probabilities Worksheet With Answer Key Page 10
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19One way to judge this is to convert both performances to a
standardized score by the formula
x
¯ x
z =
s
where
x is the actual performance of a given athlete in an event
¯ x is the mean over all athletes in that event
s is the SD over all athletes in that event
For multi-event competitions such as the men’s decathlon or
the women’s heptathlon, we might also consider adding the z-
scores over different events, to create a combined score for each
athlete.
10
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