Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3 \end{array}$
A) $36.1$
B) $4347.7$
C) $3999.0$
D) $8.35$

Question

Quizplus · Accepted Answer

The standard deviation for the given sample data is calculated as follows: First, find the mean of the data. Then, calculate the squared differences from the mean for each data point, sum these squared differences, divide by the number of data points minus one (since it's a sample), and finally take the square root of this result. Following these steps for the given data results in a standard deviation of approximately 8.35, rounded to two decimal places as the original data is given to one decimal place.

Find the Standard Deviation for the Given Sample Data 22.616.136.136.023.820.3\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3 \end{array}22.6​16.1​36.1​36.0​23.8​20.3​

Find the Standard Deviation for the Given Sample Data $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3 \end{array}$