Calculating Standard Error of the Mean

12th Gradeβ€’20 minutes

Learning Objective

I can calculate the standard error of the mean to estimate the precision of a sample mean.

Key Concepts

Standard error is a statistic that indicates the precision of your data.

Standard error is calculated by dividing the standard deviation by the square root of the sample size.

A smaller standard error indicates more precise data, while a larger standard error suggests less precise data.

Practice Questions

This lesson includes 3 practice questions to reinforce learning.

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1. What two statistical values are used to calculate the standard error of the mean?

2. Why is it important to include error bars, calculated using the standard error of the mean, on a bar graph representing data?

3. If Data Set A has a standard deviation of 3 and a sample size of 25, and Data Set B has a standard deviation of 6 and a sample size of 100, which data set has a smaller standard error of the mean?

Educational Video

Standard Error

Bozeman Science

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