Answer:
A
Step-by-step explanation:
[tex]s_x[/tex] is the standard deviation of x.
The standard deviation is gotten by:
1. find the average of x-values (add up all the values and divide by number of numbers, which is 5)
2. subtract the average, x bar, from each of the values, square it, and add up the difference
3. Divide that final answer by n, which is 5
4. Take the square root of the answer
Now, let's find the average (x bar):
x bar = [tex]\frac{2+6+9+14+19}{5}=10[/tex]
Doing steps 2 & 3 together:
[tex]\frac{(2-10)^2+(6-10)^2+(9-10)^2+(14-10)^2+(19-10)^2}{5}\\=35.6[/tex]
Doing step 4:
[tex]\sqrt{35.6} =5.967[/tex]
Correct answer is A
