Question

Find the standard​ deviation, s, of sample data summarized in the frequency distribution table given 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, 9.0. sequals Start Root Start Fraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket Summation from nothing to nothing left parenthesis f times x right parenthesis right bracket squared Over n left parenthesis n minus 1 right parenthesis End Fraction End Root Interval 20​-26 27​-33 34​-40 41​-47 48​-54 55​-61 Frequency 3 25 37 18 10 4 Standard deviation equals ​(Round to one decimal place as​ needed.)