Final answer:
The mean of the set of numbers is 6, and the standard deviation is 4.5826.
Step-by-step explanation:
To calculate the mean of a set of numbers, you add up all the numbers in the set and divide it by the total number of values. In this case, the set of numbers is 5, 9, 3, 7, and 6. Adding up these numbers gives us 30, and since there are 5 values, the mean is 30/5 = 6.
To calculate the standard deviation, you first need to find the variance. The variance is the average of the squared differences between each value and the mean. For this set of numbers, the variance is calculated as follows: (5-6)^2 + (9-6)^2 + (3-6)^2 + (7-6)^2 + (6-6)^2 = 2 + 9 + 9 + 1 + 0 = 21. To find the standard deviation, you take the square root of the variance. So the standard deviation for this set of numbers is √21 = 4.5826 (rounded to 4 decimal places).