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Convergence with increasing trials

GCSE · Mathematics · WJEC · P5 — Empirical samples tend to theoretical distributions with sample size

Question

WJEC Unit 1 (Non-calculator) — Higher

Owain spins a coin and records the relative frequency of heads after every 10 spins:

| Spins | 10 | 50 | 200 | 1000 | | Rel. freq. heads | 0.7 | 0.56 | 0.51 | 0.502 |

(a) Explain what the table shows about the relative frequency as the number of spins increases. (2 marks) (b) Estimate the probability of heads, justifying your choice of value. (2 marks)

4 marks · take your time before peeking.

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