Given the data set: {4,6,8} , calculate the standard deviation. Use the following formula to calculate standard deviation: sigma is equal to square root of the fraction with numerator the sum from i is equal to 1 to n of open paren x sub i minus m close paren squared and denominator n end root where x sub i is each data point, and n is the number of data points.
The mean of 4, 6, and 8 is 6. Their squared deviations from the mean are (4 − 6)² = 4, (6 − 6)² = 0, and (8 − 6)² = 4, for a total of 8. Divide by the 3 data points and take the square root: √(8/3) ≈ 1.63, so the standard deviation is choice D, 1.63.
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