Consider the following data: x −7 −6 −5 − 5 − 4 − 3 P(X=x) P ( X = x ) 0.2 0.2 0.2 0.2 0.2 Copy Data Step 3 of 5: Find the standard deviation. Round your answer to one decimal place.
Solution
x | P(x) | x * P(x) | x2 * P(x) |
-7 | 0.2 | -1.4 | 9.8 |
-6 | 0.2 | -1.2 | 7.2 |
-5 | 0.2 | -1 | 5 |
-4 | 0.2 | -0.8 | 3.2 |
-3 | 0.2 | -0.6 | 1.8 |
1 | -5 | 27 |
Standard deviation = =X 2 * P(X) - 2
=27 - 25
=2
= 1.4142
Standard deviation = = 1.4
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