A researcher has collected the following sample data.The mean of the sample is 5. $$\begin{array} { l l l l l }
3 & 5 & 12 & 3 & 2
\end{array}$$ The standard deviation is
A) 8.944.
B) 4.062.
C) 13.2.
D) 16.5.

Question

A researcher has collected the following sample data.The mean of the sample is 5. $$\begin{array} { l l l l l } 
3 & 5 & 12 & 3 & 2
\end{array}$$ The standard deviation is
A) 8.944.
B) 4.062.
C) 13.2.
D) 16.5.

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the variance by calculating the average of the squared differences from the mean. The mean is 5, and the squared differences are (3-5)², (5-5)², (12-5)², (3-5)², (2-5)², which average to 16.5. The square root of 16.5 is approximately 4.062.

A Researcher Has Collected the Following Sample Data 351232\begin{array} { l l l l l } 3 & 5 & 12 & 3 & 2\end{array}3​5​12​3​2​

A Researcher Has Collected the Following Sample Data $\begin{array} { l l l l l } 3 & 5 & 12 & 3 & 2\end{array}$