DA0-001 · Question #205
Which of the following best describes the law of large numbers?
The correct answer is B. As a sample size grows, its mean gets closer to the average of the whole population. The law of large numbers, in probability and statistics, states that as a sample size grows, its mean gets closer to the average of the whole population. This is due to the sample being more representative of the population as it increases in size.The law of large numbers…
Question
Which of the following best describes the law of large numbers?
Options
- AAs a sample size decreases, its standard deviation gets closer to the average of the whole
- BAs a sample size grows, its mean gets closer to the average of the whole population.
- CAs a sample size decreases, its mean gets closer to the average of the whole population.
- DWhen a sample size doubles, the sample is indicative of the whole population.
How the community answered
(58 responses)- A3% (2)
- B93% (54)
- C2% (1)
- D2% (1)
Explanation
The law of large numbers, in probability and statistics, states that as a sample size grows, its mean gets closer to the average of the whole population. This is due to the sample being more representative of the population as it increases in size.The law of large numbers guarantees stable long-term results for the averages of some random events.
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