2. To Find the Standard Deviation, follow the below steps
Step 1: Find the mean.
Step 2: Take each number, subtract the mean and square the
result.
Step 3: Calculate the sum of squared differences
Step 4: Calculate the standard Deviation
Formula:
3. Step 1: Find the mean
Given Numbers: 10, 20, 30, 40, 50
10+20+30+40+50
= _______________
5
150
= _____ = 30
5
4. Step 2: Take each number, subtract the mean and
square the result
= (10-30)^2 = (-20)^2 = 400
= (20-30)^2 = (-10)^2 = 100
= (30-30)^2 = (0)^2 = 0
= (40-30)^2 = (10)^2 = 100
= (50-30)^2 = (20)^2 = 400
5. Step 3: Calculate the sum of squared differences
= 400 + 100 + 0 + 100 + 400
= 1000
6. Step 4: Calculate the Standard Deviation
= √(1000) / (5-1))
= √ ((1000) / (4)) = √250
S = 15.811