Step 1 :First, sort the data set: \(0, 1, 2, 2, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 18\)
Step 2 :Calculate the mean: \(\frac{0+1+2+2+3+4+4+4+5+5+6+7+7+8+9+10+11+11+12+13+18}{21} = \frac{142}{21} \approx 6.76\)
Step 3 :Find the median: The middle value is 6, so the median is \(6\)
Step 4 :Find the mode: The number 4 appears the most (3 times), so the mode is \(4\)
Step 5 :Calculate the standard deviation: \(\sqrt{\frac{(0-6.76)^2+(1-6.76)^2+...+(18-6.76)^2}{21}} \approx 4.44\)
Step 6 :\(\boxed{\text{Mean: } 6.76, \text{ Median: } 6, \text{ Mode: } 4, \text{ Standard Deviation: } 4.44}\)