Step 1 :First, we need to arrange the data in ascending order: 0.31, 0.34, 0.36, 0.44, 0.51, 0.51, 0.52, 0.53, 0.53, 0.57, 0.57, 0.66, 0.68, 0.69, 0.70, 0.73, 0.73, 0.74, 0.75, 0.76.
Step 2 :To find the mean, we add up all the numbers and then divide by the number of numbers. The mean is \(\frac{0.31+0.34+0.36+0.44+0.51+0.51+0.52+0.53+0.53+0.57+0.57+0.66+0.68+0.69+0.70+0.73+0.73+0.74+0.75+0.76}{20} = 0.582\).
Step 3 :The median is the middle number in a sorted list of numbers. Since we have 20 numbers, the median is the average of the 10th and 11th numbers. So, the median is \(\frac{0.57+0.57}{2} = 0.57\).
Step 4 :The mode is the number that appears most frequently. In this case, the number 0.57 appears twice, which is more than any other number. So, the mode is 0.57.
Step 5 :Final Answer: The mean is \(\boxed{0.582}\), the median is \(\boxed{0.57}\), and the mode is \(\boxed{0.57}\).