Last updated on Sep 21, 2026

Converting Z-Scores into Actual Scores (HSC SSCE Mathematics Standard): Flashcards

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Converting Z-Scores into Actual Scores

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Formula to convert z-score to actual score

$x = \bar{x} + z \times s$

In $x = \bar{x} + z \times s$ , what is $x$ ?

Actual score

In $x = \bar{x} + z \times s$ , what is $\bar{x}$ ?

Mean of the data set

In $x = \bar{x} + z \times s$ , what is $z$ ?

z-score (number of standard deviations from mean)

In $x = \bar{x} + z \times s$ , what is $s$ ?

Standard deviation

Converting z-scores to actual scores is the ___ of what?

Opposite/reverse of calculating z-scores

If z-score is positive, actual score is ___ the mean

Above/greater than

If z-score is negative, actual score is ___ the mean

Below/less than

Find $x$ : $\bar{x}=30$ , $s=3.5$ , $z=2$

$x = 30 + 2 \times 3.5 = 30 + 7 = 37$

What does a z-score of 2.5 mean?

2.5 standard deviations above the mean

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Network Concepts

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Non-Right-Angled Trigonometry

Simultaneous Linear Equations

Bivariate Data Analysis

Annuities

Non-Linear Relationships

The Normal Distribution

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The Normal Distribution

Critical Path Analysis

Explore HSC SSCE Mathematics Standard Exam Questions by Topics

Rates and Ratios

Network Concepts

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Non-Right-Angled Trigonometry

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The Normal Distribution

Critical Path Analysis

The Normal Distribution

Critical Path Analysis

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Converting Z-Scores into Actual Scores (HSC SSCE Mathematics Standard): Flashcards

Practise the cards

Formula to convert z-score to actual score

In x=xˉ+z×sx = \bar{x} + z \times sx=xˉ+z×s, what is xxx?

In x=xˉ+z×sx = \bar{x} + z \times sx=xˉ+z×s, what is xˉ\bar{x}xˉ?

In x=xˉ+z×sx = \bar{x} + z \times sx=xˉ+z×s, what is zzz?

In x=xˉ+z×sx = \bar{x} + z \times sx=xˉ+z×s, what is sss?

Converting z-scores to actual scores is the ___ of what?

If z-score is positive, actual score is ___ the mean

If z-score is negative, actual score is ___ the mean

Find xxx: xˉ=30\bar{x}=30xˉ=30, s=3.5s=3.5s=3.5, z=2z=2z=2

What does a z-score of 2.5 mean?

Explore HSC SSCE Mathematics Standard Revision Notes by Topics

Rates and Ratios

Network Concepts

Investments and Loans

Non-Right-Angled Trigonometry

Simultaneous Linear Equations

Bivariate Data Analysis

Annuities

Non-Linear Relationships

The Normal Distribution

Critical Path Analysis

The Normal Distribution

Critical Path Analysis

Explore HSC SSCE Mathematics Standard Model Answers by Topics

Rates and Ratios

Network Concepts

Investments and Loans

Non-Right-Angled Trigonometry

Simultaneous Linear Equations

Bivariate Data Analysis

Annuities

Non-Linear Relationships

The Normal Distribution

Critical Path Analysis

The Normal Distribution

Critical Path Analysis

Explore HSC SSCE Mathematics Standard Quizzes by Topics

Rates and Ratios

Network Concepts

Investments and Loans

Non-Right-Angled Trigonometry

Simultaneous Linear Equations

Bivariate Data Analysis

Annuities

Non-Linear Relationships

The Normal Distribution

Critical Path Analysis

The Normal Distribution

Critical Path Analysis

Explore HSC SSCE Mathematics Standard Exam Questions by Topics

Rates and Ratios

Network Concepts

Investments and Loans

Non-Right-Angled Trigonometry

Simultaneous Linear Equations

Bivariate Data Analysis

Annuities

Non-Linear Relationships

The Normal Distribution

Critical Path Analysis

The Normal Distribution

Critical Path Analysis

Join 100,000+ SSCE students studying Flashcards with us.

In $x = \bar{x} + z \times s$ , what is $x$ ?

In $x = \bar{x} + z \times s$ , what is $\bar{x}$ ?

In $x = \bar{x} + z \times s$ , what is $z$ ?

In $x = \bar{x} + z \times s$ , what is $s$ ?

Find $x$ : $\bar{x}=30$ , $s=3.5$ , $z=2$