Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Choose the correct statements from the following :

Options:

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

Correct Answer:

When sample size increases the mean of sample data becomes close to the mean of population

Explanation:

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.