Additional Standard Deviation Examples
This page continues the step-by-step standard deviation calculation tutorial by presenting two more examples, further reinforcing the concept and providing additional practice for students.
Example 1:
The first example uses the dataset: 15, 18, 14, 17, 16, 19.
- Calculate the mean: (15 + 18 + 14 + 17 + 16 + 19) / 6 = 16.5
- The page then demonstrates the calculation of the standard deviation using a slightly different formula:
S = √((Σx² - (Σx)² / n) / (n - 1))
Where:
- Σx² is the sum of squared values
- (Σx)² is the square of the sum of values
- n is the number of values
Highlight: The calculated standard deviation for this example is 1.87.
Example 2:
The second example uses the dataset: 54, 45, 51, 50, 48, 53, 49.
- Calculate the mean: (54 + 45 + 51 + 50 + 48 + 53 + 49) / 7 = 50
The page begins to show the calculation process for this example using the same formula as in Example 1, but does not provide the final result.
Vocabulary: Σx² (sum of squares) - The sum of all values in a dataset after each value has been squared.
These additional examples help reinforce the concept of standard deviation calculation and provide students with more practice in applying the formulas to different datasets. The page effectively demonstrates the versatility of the standard deviation formula and how it can be applied to various sets of numbers.
