Parsons Rojas
03/24/2023 · Primary School

Describe the process of calculating a standard deviation. Give a simple example of its calculation (such as calculating the standard deviation of the numbers \( 2,3,4,4 \), and 6 ). What is the standard deviation if all of the sample values are the same? Fill in the blanks to complete the process of calculating a standard deviation. Compute the mean of the data set. Then find the deviation from the mean for every data value by value.

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To calculate the standard deviation, first find the mean, then subtract the mean from each data value to find the deviations. Square these deviations, compute their average, and take the square root of the result. For the example \( 2, 3, 4, 4, 6 \), the standard deviation is approximately 1.48. If all sample values are the same, the standard deviation is 0.

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