Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$20.9,10.2,26.2,48.8,20.0,24.9$
A) $4628.7$
B) $12.87$
C) $37.5$
D) $3800.2$

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the data: $(20.9 + 10.2 + 26.2 + 48.8 + 20.0 + 24.9) / 6 = 150.0 / 6 = 25.0$. Then, calculate each data point's deviation from the mean, square those deviations, and find the average of those squared deviations (variance). Finally, take the square root of the variance to find the standard deviation. The correct calculation leads to a standard deviation of approximately 12.87, not the exact numbers for variance or the process, but the correct answer is indeed 12.87 when following the steps for standard deviation calculation.

Find the Standard Deviation for the Given Data 20.9,10.2,26.2,48.8,20.0,24.920.9,10.2,26.2,48.8,20.0,24.920.9,10.2,26.2,48.8,20.0,24.9 A) 4628.74628.74628.7 B) 12.8712.8712.87

Find the Standard Deviation for the Given Data $20.9,10.2,26.2,48.8,20.0,24.9$ A) $4628.7$ B) $12.87$