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Delgado Community College Math 203 Reference Packet Measures of Central Tendency n X x N X Probabilities: ) | ( ) ( ) & ( A B P A P B A P n k k k k 3 2 1 ! )! ( ! r r n n C r n )! ( ! r n n P r n Miscellaneous 1 2 1 1 k 4 range s x z s x x z n x Discrete Probability x x P ) ( 2 2 2 ) ( x x P Binomial x n x x n q p C X P ) ( x n x q p X X n n X P ! )! ( ! ) ( np npq 2 Normal Approx. to the Binomial ) 5 . 0 5 . 0 ( ) ( a X a P a X P ) 5 . 0 ( ) ( a X P a X P ) 5 . 0 ( ) ( a X P a X P ) 5 . 0 ( ) ( a X P a X P Confidence Intervals n z x n z x 2 2 n s t x n s t x 2 2 n q p z p p n q p z p ˆ ˆ ˆ ˆ ˆ ˆ 2 2 Test Statistics n x z n pq p p z ˆ n s x t Regression bx a y 2 2 2 2 ) ( ) ( ) ( y y n x x n y x xy n r 2 2 2 x x n xy x x y a 2 2 x x n y x xy n b ) ( ) & ( ) | ( A P B A P A B P 68%, 95%, 99.7% Measures of Dispersion R=highest– lowest N x 2 2 N N x ) ( 2 2 2 N n X X / ) ( 2 2 2 1 2 2 n x x s 1 ) ( 2 2 2 n x N x s 1 / ) ( 2 2 2 n n X X s 1 ) ( ) ( 2 2 2 n n X X n s 1 3 Q Q IQR IQR 5 . 1 ) ( ) ( ) & ( B P A P B A P ) & ( ) ( ) ( ) ( B A P B P A P B or A P ) ( 1 ) ( E P E P Please return this reference sheet to your instructor after the final.

Math 203 Reference Packet

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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.