Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-17.8, 20.3, 36.4, 34.5, 14.1, 14.8
A)35.5
B)3169.4
C)3662.0
D)9.93

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean (average) of the data: (17.8 + 20.3 + 36.4 + 34.5 + 14.1 + 14.8) / 6 = 22.98. Then, find the squared differences from the mean, sum them, divide by the number of data points to find the variance, and finally take the square root to find the standard deviation. The correct calculation leads to a standard deviation of approximately 9.93, rounded to two decimal places as per the instruction.

Find the Standard Deviation for the Given Data