Find the standard deviation of the set of following numbers
Find the standard deviation of the set of following numbers. You must show all of your work. 2, 4, 8, 2, 4, 6, 3, 3
Solution
Getting the mean, X,
X = Sum(x) / n
Summing the items, Sum(x) = 32
As n = 8
Thus,
X = 4
Setting up tables,
Thus, Sum(x - X)^2 = 30
Thus, as
s^2 = Sum(x - X)^2 / (n - 1)
As n = 8
s^2 = 4.285714286
Thus,
s = 2.070196678 [ANSWER, STANDARD DEVIATION]
| x | x - X | (x - X)^2 |
| 2 | -2 | 4 |
| 4 | 0 | 0 |
| 8 | 4 | 16 |
| 2 | -2 | 4 |
| 4 | 0 | 0 |
| 6 | 2 | 4 |
| 3 | -1 | 1 |
| 3 | -1 | 1 |
