Question
Download Solution PDFCompute the standard deviation of the following numbers: 5, 6, 4 and 2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Number = 5, 6, 4, and 2
Formula used
σ = √[x – x̅)2/n]
x̅ = (x1 + x2 + x3 + x4)/4
σ = Standard deviation
x̅ = Mean
Calculation
Mean = x̅ = (5 + 6 + 4 + 2)/4 = 4.25
|
x |
x – x̅ |
(X – x̅)2 |
|
5 |
0.75 |
0.5625 |
|
6 |
1.75 |
3.0625 |
|
4 |
-0.25 |
0.0625 |
|
2 |
-2.25 |
5.0625 |
|
Total |
|
8.75 |
⇒ σ = √(8.75)/4
⇒ √2.1875)
∴ Standard deviation of these values is 1.479
Standard deviation = It is the square root of the arithmetic mean of the square of deviation of the items from their mean value
σ = √[x – x̅)2/n]
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