What is the term for an estimate of the standard deviation of the sampling distribution of a statistic?

What is the term for an estimate of the standard deviation of the sampling distribution of a statistic?

• A. Standard error
• B. Standard deviation
• C. Confidence interval
• D. Margin of error

Answer: (A)

The main idea here is the standard error. It is the estimate of the standard deviation of the sampling distribution of a statistic, such as the sample mean. This tells you how much the statistic would vary if you repeated the study many times with different samples. It’s different from the standard deviation, which measures how spread out the individual data points are within one sample. Confidence intervals use the standard error to describe a range for the population parameter, and the margin of error is the half-width of that interval, not the variability of the statistic itself. So the term that fits is standard error.

The main idea here is the standard error. It is the estimate of the standard deviation of the sampling distribution of a statistic, such as the sample mean. This tells you how much the statistic would vary if you repeated the study many times with different samples. It’s different from the standard deviation, which measures how spread out the individual data points are within one sample. Confidence intervals use the standard error to describe a range for the population parameter, and the margin of error is the half-width of that interval, not the variability of the statistic itself. So the term that fits is standard error.