Mean: 5.8
Standard deviation: 2.863
Mean = (8+9+5+1+6) / 5 = 29 / 5 = 5.8
To find the standard deviation, we need to first find the variance:
1. Find the mean of the data set:
mean = 5.8
2. Subtract the mean from each value, and square the result:
(8-5.8)^2 = 4.84
(9-5.8)^2 = 8.84
(5-5.8)^2 = 0.64
(1-5.8)^2 = 18.49
(6-5.8)^2 = 0.04
3. Add up the squared differences:
4.84 + 8.84 + 0.64 + 18.49 + 0.04 = 32.85
4. Divide the sum by the number of values minus 1, and take the square root:
s = sqrt(32.85/(5-1)) = sqrt(8.21) = 2.863