Step 1 :The given data is: \(2.3, 3.3, 2.8, 1.6, 0.9, 4.0, 2.5, 1.4, 3.8, 0.3, 2.3, 3.1\)
Step 2 :The sample mean \(\bar{x}\) is calculated as \(2.36\)
Step 3 :To find the sample standard deviation, we first need to calculate the variance. The variance is the average of the squared differences from the mean.
Step 4 :After calculating the variance, we take the square root to get the standard deviation.
Step 5 :The calculated standard deviation is approximately \(1.1397434586410888\)
Step 6 :Rounding to two decimal places, the final answer is: \(\boxed{1.14}\)