nes to the mean and variance of the population.
μ = Σχ/Ν
(1+2+3+4+5) / 5
Illustration/Solution
(1)
Steps
3.00
1.
(a) X-M
2.
(2) 02 = E(X- ) / N
= 10 / 5
= 2
(a)
1
2
3
4
5
O
(b)(X - )
4
1
O
1
4
E(x- u)2=10
(b).
2
So, the variance of the
population is 2.
Use the formula (3) NC. =
NI
n!(N-n)!
Here N-5 and n=2.
3.
10
SC2
4.
2.5
So, there are 10 possible samples of size 2 that can be drawn.
(4) Samples
1,2
(4) Mean
1.5
1,3
2.0
1.4
1,5
3.0
2,3
2.5
2.4
3.0
2.5
3.5
3.5
3,5
4.0
4.5
3,4
4,5​