Find the range, mean, and standard deviation of the data set.
\[
\{12,4,12,8,8,3,18,15\} \text { 미 }
\]
Answer
So, the range of the data set is \(\boxed{15}\), the mean is \(\boxed{10}\), and the standard deviation is approximately \(\boxed{4.87}\).
Step 1 ：First, we need to find the range, mean, and standard deviation of the data set \(\{12,4,12,8,8,3,18,15\}\).
Step 2 ：The range of a data set is the difference between the maximum and minimum values in the set. In this case, the range is \(18 - 3 = 15\).
Step 3 ：The mean is the sum of all the values divided by the number of values. So, the mean is \(\frac{12+4+12+8+8+3+18+15}{8} = 10\).
Step 4 ：The standard deviation is a measure of the amount of variation or dispersion of a set of values. The standard deviation for this data set is approximately 4.87.
Step 5 ：So, the range of the data set is \(\boxed{15}\), the mean is \(\boxed{10}\), and the standard deviation is approximately \(\boxed{4.87}\).
