Questions: Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. s = sqrt((n[sum(f * x^2)] - [sum(f * x)]^2) / (n(n-1))) Interval 30-36 37-43 44-50 51-57 58-64 65-71 72-78 Frequency 2 2 4 4 8 34 35 Standard deviation = 2.5 (Round to one decimal place as needed.)

Transcript text: list Find the standard deviation, s , of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, $f$ represents the class frequency, and $n$ represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1 . 11 \[ s=\sqrt{\frac{n\left[\sum\left(f \cdot x^{2}\right)\right]-\left[\sum(f \cdot x)\right]^{2}}{n(n-1)}} \] \begin{tabular}{c|c|c|c|c|c|c|c} Interval & $30-36$ & $37-43$ & $44-50$ & $51-57$ & $58-64$ & $65-71$ & $72-78$ \\ \hline Frequency & 2 & 2 & 4 & 4 & 8 & 34 & 35 \end{tabular} Standard deviation $=2.5$ (Round to one decimal place as needed.)