The Standard error of mean is calculated on the basis of__________.
A. Grand Mean
B. Size of the sample
C. Sample standard deviation
D. Sampling distribution of mean
E. Population mean
Choose the correct answer from the options given below:

Correct option is B

The correct answer is: (b), B and C only
Size of the sample: The size of the sample, usually denoted as n, is an essential component in calculating the standard error of the mean. The SEM is inversely proportional to the square root of the sample size (n). As the sample size increases, the SEM decreases, indicating greater precision in estimating the population mean.
The sample standard deviation (s) measures the variability or dispersion of the values within the sample. It is used in the formula to calculate the standard error of the mean. The SEM is directly proportional to the sample standard deviation. A higher sample standard deviation results in a larger standard error of the mean, indicating greater uncertainty in the estimation of the population mean.
Information booster
Grand Mean: The grand mean is the mean of multiple samples means and is not directly used in the calculation of the standard error of the mean.
Sampling distribution of mean: The sampling distribution of the mean represents the distribution of sample means taken from multiple samples of the same size from a population. While it is related to the concept of standard error, it is not directly involved in its calculation.
Population mean: The population mean represents the average value of the entire population. While the population mean is a parameter of interest, it is not directly used in calculating the standard error of the mean from a sample.