Page 301 - Introduction to Petroleum Engineering

ACTIVITIES 289
14.6 The standard deviation of a population σ with mean μ and N values {X } is
pop i
1 N
σ = ( X − µ) . The standard deviation σ of N′ values in a sub set
2
pop ∑ i i sample
N =1
1 N ′
of values sampled from the population is σ = ( X − µ) .
2
sample N − ∑ i =1 i
′ 1
A. Estimate P , P , P reserves for a brown field model study. Assume
50
90
10
a normal distribution of reserves. The distribution has a mean of 303.1
MMSTBO and a population standard deviation σ = 47.8 MMSTBO.
pop
B. Estimate P , P , P reserves for a brown field model study. Assume
50
10
90
a normal distribution of reserves. The distribution has a mean of 303.1
MMSTBO and a sample standard deviation σ = 50.3 MMSTBO.
sample