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.
Standard deviation $=$ (Round to one decimal place as needed.)

Step 1 ：Calculate the mean of the data, denoted as \(\bar{x}\).

Step 2 ：Subtract the mean from each class midpoint \(x_i\) and square the result to get \((x_i - \bar{x})^2\).

Step 3 ：Multiply each squared result by its corresponding frequency \(f_i\) to get \(f_i*(x_i - \bar{x})^2\).

Step 4 ：Sum all the values from the previous step to get \(\sum_{i=1}^{n} f_i*(x_i - \bar{x})^2\).

Step 5 ：Divide the result by the total number of data points minus 1, \(n-1\), to get \(\frac{\sum_{i=1}^{n} f_i*(x_i - \bar{x})^2}{n-1}\).

Step 6 ：Take the square root of the result from the previous step to get the standard deviation \(s\), rounded to one decimal place.

Step 7 ：Compare the calculated standard deviation \(s\) with the given standard deviation 11.1.