1 press ctrl-a ©g dear 2009 – not to be sold/free to use z-scorecomparisons stage 6 - year 12...

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1 Press Ctrl-A Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Z-score Z-score Comparisons Comparisons Stage 6 - Year 12 Stage 6 - Year 12 General Mathematics HSC

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Page 1: 1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Z-scoreComparisons Stage 6 - Year 12 General Mathematics HSC

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Press Ctrl-APress Ctrl-A©G Dear 2009 – Not to be sold/Free to use

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

General MathematicsHSC

Page 2: 1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Z-scoreComparisons Stage 6 - Year 12 General Mathematics HSC

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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 ……

Page 3: 1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Z-scoreComparisons Stage 6 - Year 12 General Mathematics HSC

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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

WinsWins