Let x, s² be the mean and variance of a random sample taken from a normal distribution with mean (μ) and standard deviation (σ). Then which of the following is/are parameter/s?

Question

Question

This question was previously asked in

SSC CGL Tier-II (JSO) 2022 Official Paper (Held On: 4 March 2023)

Answer 1

The correct answer is Both μ and σ.

Key Points

In statistics, a parameter is a numerical value that describes a population characteristic. In the given scenario, x and s^2 refer to the sample mean and sample variance, respectively. These are statistics calculated from the sample data and are used to estimate the population parameters.
On the other hand, μ represents the population mean, which is the true average value of the variable of interest in the population. σ represents the population standard deviation, which describes the variability of the variable in the population.

Since μ and σ are population parameters that characterize the underlying normal distribution, they are considered as the parameters in this case.