Choose the correct statements from the following : |
When sample size decreases, the mean of a sample of data becomes close to the mean of population When sample size decreases, the mean, median and mode of sample data becomes equal to mean, median and mode of population Sample size does not effect the behaviour of mean of sample data towards that of population When sample size increases the mean of sample data becomes close to the mean of population |
When sample size increases the mean of sample data becomes close to the mean of population |
The correct answer is Option (4) → When sample size increases the mean of sample data becomes close to the mean of population This follows from the law of large numbers, which states that as sample size increases, the sample mean $(\bar x)$ gets closer to the population mean. |