Standardised scores (AQA GCSE Statistics): Flashcards
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What is a standardised score in statistics?
What is a standardised score in statistics?
A score indicating how far a value is from the mean.
How do you calculate the mean from scores?
How do you calculate the mean from scores?
Mean = Sum of scores / Number of scores.
What does a positive standardised score indicate?
What does a positive standardised score indicate?
Above-average performance compared to peers.
What is the formula for standardised scores?
What is the formula for standardised scores?
z = (x - μ) / σ, where x is the score.
Calculate the mean: Σx = 3100, n = 50.
Calculate the mean: Σx = 3100, n = 50.
Mean = 3100 / 50 = 62.
How to find standard deviation from scores?
How to find standard deviation from scores?
Use: σ = √(Σx²/n - (Σx/n)²).
What does a standardised score of 1.6 mean?
What does a standardised score of 1.6 mean?
1.6 standard deviations above the average score.
Compare scores: 48 (mean 45, σ 10) and 64 (mean 55, σ 8).
Compare scores: 48 (mean 45, σ 10) and 64 (mean 55, σ 8).
Aptitude: 0.3, Skills: 1.125; better on skills test.
What does a negative standardised score indicate?
What does a negative standardised score indicate?
Below-average performance compared to peers.
Why are standardised scores useful?
Why are standardised scores useful?
They allow fair comparisons across different tests.