The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. $\begin{array}{lll}1421 & 1230 & 981 \\ 697 & 726 & 839 \\ 721 & 744 & 541 \\ 627 & 1447 & 946\end{array}$ (a) Find the sample mean. $\bar{x}=\prod$ (Round to one decimal place as needed.)

Step 1 ：Given the state test scores for 12 randomly selected high school seniors are 1421, 1230, 981, 697, 726, 839, 721, 744, 541, 627, 1447, 946.

Step 2 ：To find the sample mean, we need to add up all the scores and then divide by the number of scores. In this case, we have 12 scores.

Step 3 ：The calculation is \((1421 + 1230 + 981 + 697 + 726 + 839 + 721 + 744 + 541 + 627 + 1447 + 946) / 12\).

Step 4 ：After calculating, we find that the sample mean is 910.0.

Step 5 ：So, the final answer is \(\boxed{910.0}\).