Find the range and standard deviation of the set of numbers. \[ 8,8,10,6,8 \] The range is $\square$.

Step 1 ：The given set of numbers is \(8, 8, 10, 6, 8\).

Step 2 ：The range of a set of numbers is the difference between the highest and lowest values in the set.

Step 3 ：To find the range, we subtract the smallest number in the set from the largest number. In this case, the range is \(10 - 6 = 4\).

Step 4 ：The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Step 5 ：To find the standard deviation, we first need to find the mean of the set. The mean is the sum of the numbers divided by the count of the numbers. In this case, the mean is \((8 + 8 + 10 + 6 + 8) / 5 = 8\).

Step 6 ：Then, for each number in the set, we subtract the mean and square the result. The results are \((8 - 8)^2, (8 - 8)^2, (10 - 8)^2, (6 - 8)^2, (8 - 8)^2\), which simplifies to \(0, 0, 4, 4, 0\).

Step 7 ：The next step is to find the mean of these squared differences. The mean is \((0 + 0 + 4 + 4 + 0) / 5 = 1.6\).

Step 8 ：Finally, we take the square root of this last mean. The square root of 1.6 is approximately 1.41.

Step 9 ：Final Answer: The range of the set of numbers is \(\boxed{4}\) and the standard deviation is approximately \(\boxed{1.41}\).