How to Calculate the Standard Deviation of Data: Example with 10, 28, 13, 18
Learn step-by-step how to calculate the standard deviation for data points 10, 28, 13, and 18 with clear explanations and formula breakdown.
0 views
To calculate the standard deviation of the data [10, 28, 13, 18], first find the mean (mean = 17.25). Next, find the variance by averaging the squared differences from the mean, which is 46.69. The standard deviation is the square root of the variance (≈ 6.83), this measures how spread out the numbers are.
FAQs & Answers
- What is the formula to calculate standard deviation? Standard deviation is calculated as the square root of the variance, where variance is the average of the squared differences from the mean.
- Why is standard deviation important in data analysis? Standard deviation measures how spread out data points are, helping to understand the variability and consistency within a data set.
- How does variance relate to standard deviation? Variance is the average of squared deviations from the mean, and standard deviation is its square root, providing a measure in the original data units.