Analyse Data (HSC SSCE Mathematics Advanced): Quizzes

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Analyse Data
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What does relative frequency express?

The proportion of a specific outcome

What is the formula for relative frequency?

FrequencyTotal frequency\frac{\text{Frequency}}{\text{Total frequency}}

What range do relative frequency values always fall within?

Between 00 and 11

A coin is flipped 5050 times; heads appears 2828 times. What is the relative frequency of heads?

0.560.56

How does sample size affect probability estimates from relative frequency?

Larger samples give more accurate estimates

What does the symbol \approx mean in P(X=x)frequencytotalP(X = x) \approx \frac{\text{frequency}}{\text{total}}?

Approximately equal to

If 1515 out of 200200 items are defective, predict defects in 10001000 items.

7575

A store tests 150150 batteries; 1212 are faulty. Estimate the probability a battery is faulty.

0.080.08

What are histograms used for in relative frequency analysis?

To visualise relative frequency distributions

When should you use relative frequency to estimate probability?

When theoretical probabilities are unknown

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