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Formula Summaries For Statistics
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Delgado Community College Math 203 Reference Packet
Measures of Central Tendency
nX
x N
XProbabilities:
)|()()&( ABPAPBAP
nkkkk 321
!)!(!
rrnnC rn
)!(!rn
nP rn
Miscellaneous
12
11 k 4ranges
xz
sxxz
nx
Discrete Probability
xxP )(
222 )( xxPBinomial
xnxxn qpCXP
)(xnx qp
XXnnXP !)!(!)(
np
npq2
Normal Approx. to the Binomial
)5.05.0()( aXaPaXP
)5.0()( aXPaXP
)5.0()( aXPaXP
)5.0()( aXPaXP
Confidence Intervals
n
zxn
zx
22
n
stx
n
stx
22
nqpzpp
nqpzp
22
Test Statistics
n
xz
npq
ppz
ns
xt
Regression
bxay
2222 )()(
)(
yynxxn
yxxynr
22
2
xxn
xyxxya
22
xxn
yxxynb
)()&()|(
APBAPABP
68%, 95%, 99.7%
Measures of Dispersion
R=highest lowest
N
x 22
NNx )( 222 N
nXX /)( 222
1
22
nxx
s
1)( 222
nxNx
s
1
/)( 222
n
nXXs
1)()( 222
nnXXn
s13 QQIQR IQR5.1
)()()&( BPAPBAP )&()()()( BAPBPAPBorAP
)(1)( EPEP
Please return this reference sheet to your instructor after the final.
U
The t Distribution The (Cumulative) Standard Normal Distribution
For z values less than 3.49, use 0.0001.P For z values greater than 3.49, use 0.9999.