Find the sample standard deviation from the set of measurements below. $1.003,1.104,1.118,1.054,1.062,1.111,1.219$
A) $s = 0.063$
B) $s = 0.059$
C) $s = 0.056$
D) $s = 0.072$
E) $s = 0.061$

Question

Quizplus · Accepted Answer

The sample standard deviation is a measure of how spread out the data is. It is calculated by taking the square root of the variance. The variance is calculated by finding the average of the squared differences between each data point and the mean.In this case, the mean is 1.084. The squared differences between each data point and the mean are:$ (1.003 - 1.084)^2 = 0.0064 $$ (1.104 - 1.084)^2 = 0.0004 $$ (1.118 - 1.084)^2 = 0.0011 $$ (1.054 - 1.084)^2 = 0.0009 $$ (1.062 - 1.084)^2 = 0.0005 $$ (1.111 - 1.084)^2 = 0.0007 $$ (1.219 - 1.084)^2 = 0.0182 $The variance is the average of these squared differences:$ \frac{0.0064 + 0.0004 + 0.0011 + 0.0009 + 0.0005 + 0.0007 + 0.0182}{7} = 0.0039 $The sample standard deviation is the square root of the variance:$ \sqrt{0.0039} = 0.063 $Therefore, the correct answer is A.

Find the Sample Standard Deviation from the Set of Measurements 1.003,1.104,1.118,1.054,1.062,1.111,1.2191.003,1.104,1.118,1.054,1.062,1.111,1.2191.003,1.104,1.118,1.054,1.062,1.111,1.219

Find the Sample Standard Deviation from the Set of Measurements $1.003,1.104,1.118,1.054,1.062,1.111,1.219$