Compute $\mathrm { s } ^ { 2 }$ and s for the data set: $\frac { 1 } { 10 } , \frac { 3 } { 5 } , \frac { 1 } { 10 } , \frac { 1 } { 5 } , \frac { 7 } { 10 } , \frac { 3 } { 10 } .$
A) 0.033 ; 0.183
B) 6.667 ; 2.582
C) 0.767 ; 0.876
D) 0.067 ; 0.258

Question

Quizplus · Accepted Answer

To compute the sample variance ($\mathrm { s } ^ { 2 }$) and the sample standard deviation (s) for the given data set, we first find the mean of the data set, then use the formula for sample variance and finally take the square root of the variance to find the standard deviation. The correct computation leads to a sample variance ($\mathrm { s } ^ { 2 }$) of 0.067 and a sample standard deviation (s) of 0.258.

Compute s2\mathrm { s } ^ { 2 }s2 And S for the Data Set

Compute $\mathrm { s } ^ { 2 }$ And S for the Data Set