The following set of data is from a sample of $n=6$.
\[
\begin{array}{llllll}
2 & 10 & 3 & 2 & 8 & 12
\end{array}
\]
a. Compute the mean, median, and mode.
b. Compute the range, variance, standard deviation, and coefficient of variation.
c. Compute the $\mathrm{Z}$ scores. Are there any outliers?
d. Describe the shape of the data set.

Step 1 ：The given data set is \(2, 10, 3, 2, 8, 12\).

Step 2 ：The mean is calculated by summing all the numbers in the data set and then dividing by the number of items in the set.

Step 3 ：The median is the middle number in a sorted, ascending or descending, list of numbers. If the list contains an even number of observations, the median is the average of the two middle numbers.

Step 4 ：The mode is the number that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

Step 5 ：The mean of the data set is \(6.17\) (rounded to two decimal places), the median is \(5.5\), and the mode is \(2\).

Step 6 ：Final Answer: The mean of the data set is \(\boxed{6.17}\), the median is \(\boxed{5.5}\), and the mode is \(\boxed{2}\).