Step 1 :Given the standard deviation is \(11.1\) and the computed standard deviation is \(12.7\).
Step 2 :Calculate the difference between the computed standard deviation and the given standard deviation: \(12.7 - 11.1 = 1.6\).
Step 3 :Calculate the percentage difference: \(\frac{1.6}{11.1} \times 100 = 14.41\%\).
Step 4 :Since the percentage difference is less than 20%, the computed value is not significantly different from the given value.
Step 5 :However, since the computed standard deviation is greater than the given standard deviation, we can say that the computed value is greater than the given value.
Step 6 :\(\boxed{\text{The computed value is significantly greater than the given value.}}\)