The standard deviation is approximately 3.84
Step 1: Find the mean
Find the sum of the values, and divide by number of terms.
Mean (average) = (36+32+38+28)/4 = 134/4 = 33.5
We must use Standard Deviation formula which is attached as an image below.
X is the mean here, so lets plug in 33.5
Step 2. Distance from the mean squared |x-mean∣²
For each data point, we will plug in the numbers.
|36-33.5|²=2.5²=6.25
|32-33.5|²=1.5²=2.25
|38-33.5|²=4.5²=20.25
|28-33.5|²=5.5²=30.25
Step 3: Find the sum (∑)
We find the sum here by adding all the distances from the mean squared
∑|x-mean|²=59
Step 4: Divide the sum by the amount of points, 4
59/4=14.75
Step 5: Take the square root of step 4
[tex]\sqrt{14.75}[/tex] is about 3.84
The standard deviation is approximately 3.84
