Assume a population of 1,3, and 8. Assume that samples of size n=2 are randomly selected with replacement from the population.
Sample x1 x2
1 1 1
2 1 3
3 1 8
4 3 1
5 3 3
6 3 8
7 8 1
8 8 3
9 8 8
Find the value of the population standard deviation sigmaσ.
Question asked:
Value of the population standard deviation :
Answer:
Population values: 1, 3, 8
From the given population data, the following Table is calculated:
Population Mean () is given by:
x | x - ![]() |
(x - ![]() |
1 | - 3 | 9 |
3 | - 1 | 1 |
8 | 4 | 16 |
Total = | 26 |
Population Standard Deviation () is given
by:
So,
Answer is:
2.9439
Assume a population of 1,3, and 8. Assume that samples of size n=2 are randomly selected...
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Assume that samples of size
nequals=2
are randomly selected with replacement from the population
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44,
55,
and
99.
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