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FORMULA TO LEARN:
POPULATON
‘THE BIG PICTURE’
POPULATION
MEAN
POPULATION
POPULATION
POPULATION
VARIANCE
PROPORTION
CORRELATION
Population Mean

x
n

2

COEFFICIENT
Sample Mean

x
x
n
(unbiased estimate for  )
population var iance
sample
sample
mean
var iance
X
S2
sample proportion
p
sample correlation coeffient
2
r
2
n
sample ' var iance '
s
SAMPLE
‘PART OF THE PICTURE’
 (x  )

2
 (x  x )

2
n 1
2

n x
2
or 

x


n  1  n

(unbiased estimate for
 2)
MATCH UP THE DESCRIPTION, THE SYMBOL AND THE FORMULA
i. A population parameter, measuring
2
2


x
n

2
dispersion, measured in the same units as the

x

1.
A n  1  n
population data

2.
3.
4.
5.
6.



s
ii. a measure of location of a sample
B
iii. a sample statistic which is an unbiased
estimator for the population variance
2
C
iv. a measure of location of a population
D
s
v. A population parameter measuring the mean
squared deviation from the population mean
x
vi. A sample statistic and measure of spread,
which is measured in the same units as the
sample data
1
2
3
4
E
F
 (x  )

2
n
x
n
x
n
 (x  )
2
n
 ( x  x )2
n 1
5
6
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