(Solved):   Find the standard deviation, \( s \), of sample data summarized in the frequency distribut ...

 

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. \[ s=\sqrt{\frac{n\left[\sum\left(f \cdot x^{2}\right)\right]-\left[\sum(f \cdot x)\right]^{2}}{n(n-1)}} \] Standard deviation = (Round to one decimal place as needed.)