How to Calculate the Standard Deviation of 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32
Learn step-by-step how to calculate the standard deviation of the numbers 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32 with an example.
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To calculate the standard deviation of the numbers 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32: 1. Find the mean: (10+28+13+18+29+30+22+23+25+32)/10 = 23. 2. Subtract the mean from each number, square the result, and find the average of these squares. 3. The final standard deviation is the square root of this average. Following these steps, the standard deviation is approximately 7.39.
FAQs & Answers
- What is standard deviation in statistics? Standard deviation is a measure of how spread out numbers are in a data set, indicating the average distance from the mean.
- How do you calculate the mean in a data set? The mean is calculated by adding all the numbers together and then dividing by the total count of numbers.
- Why is standard deviation important? Standard deviation helps to understand data variability and consistency, crucial for statistical analysis and decision-making.