Step 1 :Sort the data in ascending order: 5, 8, 10, 13, 14.
Step 2 :Find the range by subtracting the smallest value from the largest value: 14 - 5 = \(\boxed{9}\).
Step 3 :Find the mean (average) of the data set: \((5 + 8 + 10 + 13 + 14) / 5 = 10\).
Step 4 :Subtract the mean from each number and square the result: \((5-10)^2, (8-10)^2, (10-10)^2, (13-10)^2, (14-10)^2\) which gives us \(25, 4, 0, 9, 16\).
Step 5 :Find the average of these squared differences: \((25 + 4 + 0 + 9 + 16) / 5 = 10.8\).
Step 6 :Take the square root of that average to find the standard deviation: \(\sqrt{10.8} \approx \boxed{3.29}\).