As per the central limit theorem, as the sample size (N) increases, the sampling distribution of the mean approaches a normal distribution. The minimum value of N is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30
The central limit theorem says that for a large sample, the distribution of the sample mean is approximately normal, whatever the shape of the population.
In practice a sample is treated as large when \( N\ge 30 \). This is the accepted rule of thumb for applying the central limit theorem, so the minimum value of N is 30.
CBSE Applied Mathematics (Class XII):
Central Limit Theorem (CLT)
