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Z-scoreZ-scoreComparisonsComparisonsStage 6 - Year 12Stage 6 - Year 12

General MathematicsHSC

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Z Scores – Comparison (1/2)

How can I tell if I am doing better in MathMath or EnglishEnglish?

My scores were 7575 in English and 5555 in Math.

English.English.

x = 60 and s = 10

Math.Math.

x = 45 and s = 5

z =x – x

s

z = 75 - 6010

z = 1.5

z = 55 - 455

z = 2

Since MathMath had a larger z score than English.English.The best mark was ……

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Z Scores – Comparison (2/2)

Am I doing better on golf course AA or course BB?

My scores were 6565 on course AA and 5757 on course BB.

Course ACourse A

x = 70 and σ = 5

Course BCourse B

x = 65 and s = 4

z = 65 - 705

z = -1

z = 57 - 654

z = -2

Since Course BCourse B had a lower z score than Course Course AA..

the best score was ……

LowestLowestZ ScoreZ Score

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