Answer:
σ = 3.08
Step-by-step explanation:
Given
6, 5, 13, 8
Required
Standard Deviation
Take note of the following highlighted steps
1. Calculate the Mean
Mean = summation of data ÷ number of data
Summation = 6 + 5 + 13 + 8
Summation = 32
Number of data = 4
Mean = 32/4
Mean = 8
2. Subtract the mean from given data
6:-> 6 - 8 = -2
5:-> 5 - 8 = -3
13:-> 13 - 8 = 5
8:-> 8 - 8 = 0
We have; -2, -3, 5, 0
3. Square these results
-2:-> -2² = 4
-3:-> -3² = 9
5:-> 5² = 25
0:-> 0² = 0
We have: 4, 9, 25, 0
4. Calculate the mean of these results
Mean = summation of data ÷ number of data
Summation = 4 + 9 + 25 + 0
Summation = 38
Number of data = 4
Mean = 38/4
Mean = 9.5
Step 5: Take square root of the above
Standard Deviation, σ = √9.5
σ = 3.08220700148
σ = 3.08 (Approximated)
