A sample of 100 students participate in a final exam. The mean score is 88 with a standard deviation of five (5). What is the standard error of the measurement of the mean?
To calculate the standard error of the mean, you need to divide the standard deviation by the square root of the sample size. In this case, the sample size is 100.
The formula for standard error of the mean (σm) is:
σm = σ / √n
Where:
σm = standard error of the mean
σ = standard deviation
n = sample size
Given that the standard deviation (σ) is 5 and the sample size (n) is 100, we can calculate the standard error of the mean as follows:
σm = 5 / √100
= 5 / 10
= 0.5
Therefore, the standard error of the mean for the sample of 100 students is 0.5.