Step 1 :First, we need to calculate the range, variance, and standard deviation of the given data. The range is the difference between the maximum and minimum values in the dataset. The variance is the average of the squared differences from the mean, and the standard deviation is the square root of the variance.
Step 2 :The given data is [7, 4, 20, 16, 20, 20, 8, 11, 13, 3, 2, 4, 13, 7].
Step 3 :The range of the data is calculated as the difference between the maximum and minimum values in the dataset. In this case, the range is 18.
Step 4 :The variance of the data is calculated as the average of the squared differences from the mean. In this case, the variance is approximately 39.8.
Step 5 :The standard deviation of the data is calculated as the square root of the variance. In this case, the standard deviation is approximately 6.3.
Step 6 :Final Answer: The range of the sample data is \(\boxed{18}\). The variance of the sample data is \(\boxed{39.8}\). The standard deviation of the sample data is \(\boxed{6.3}\).
Step 7 :The measures of variation do not reveal any information about the scale of the data.