Complete the following table then find the standard deviation for the table.
x | P(x) | |||
10 | 0.34 | |||
14 | 0.22 | |||
18 | 0.26 | |||
20 | 0.18 |
Solution
Given that
x | P(x) | x * P(x) | x2 * P(x) |
10 | 0.34 | 3.4 | 34 |
14 | 0.22 | 3.08 | 43.12 |
15 | 0.26 | 3.9 | 58.5 |
20 | 0.18 | 3.6 | 72 |
1 | 13.98 | 207.62 |
Standard deviation = =X 2 * P(X) - 2
=207.62 -195.4404
=12.1796
= 3.489
Standard deviation =3.49
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