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The Student's t-distribution table

Number of dimensions:
Confidence probability:

    Student's Table

    Число степеней свободы
    f = n - 1
    nДоверительная вероятность
    0.900.950.990.999
    126.313751514812.706204736463.6567411629636.619249432
    232.919985580364.302652729919.9248432009231.599054577
    342.35336343483.182446305285.8409092997612.9239786366
    452.131846781342.77644510524.604094871428.61030158138
    562.015048372672.570581836614.032142983566.86882663987
    671.943180280392.446911848793.707428021325.95881617993
    781.894578605062.364624251013.499483297355.40788252098
    891.859548037522.306004135033.355387331335.04130543339
    9101.833112932652.262157162743.249835544024.78091258593
    10111.812461122812.228138851963.169272667184.5868938587
    11121.79588481872.200985160083.105806513224.43697933823
    12131.782287555652.178812829663.054539588344.31779128361
    13141.770933395992.160368656463.012275838214.22083172771
    14151.761310135772.144786687922.976842734114.14045411274
    15161.753050355692.131449545562.946712883344.0727651959
    16171.745883676282.119905299222.920781622354.0149963326
    17181.739606726082.109815577832.898230519633.96512626361
    18191.734063606622.100922040242.878440472713.92164582001
    19201.729132811522.093024054412.860934606453.88340584948
    20211.724718242922.085963447272.845339709783.84951627298
    21221.720742902812.079613844732.831359558023.81927716303
    22231.717144374382.07387306792.81875606063.79213067089
    23241.713871527752.068657610422.807335683773.76762680377
    24251.710882079912.063898561632.796939504773.74539861893
    25261.708140761252.059538552752.787435813683.72514394948
    26271.705617919762.055529438642.778714533333.70661174331
    27281.703288445722.051830516482.770682957123.68959171334
    28291.701130934272.04840714182.763262455463.67390640062
    29301.699127026532.045229642132.756385903673.6594050194
    30311.697260894362.04227245632.749995653573.645958635
    40411.683851011392.0210753832.704459267433.55096576086
    60611.670648864652.000297821062.660283031153.4602004692
    1201211.657650899351.979930405052.617421144773.37345376507
    999999.01000000.01.644855150721.959966356822.575834220113.29053646126

    Learn more about Student's coefficient.

    The above examples also contain:

    • the modulus or absolute value: absolute(x) or |x|
    • square roots sqrt(x),
      cubic roots cbrt(x)
    • trigonometric functions:
      sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)
    • exponential functions and exponents exp(x)
    • inverse trigonometric functions:
      arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x)
    • natural logarithms ln(x),
      decimal logarithms log(x)
    • hyperbolic functions:
      hyperbolic sine sh(x), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x)
    • inverse hyperbolic functions:
      hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)
    • other trigonometry and hyperbolic functions:
      secant sec(x), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(x)
    • rounding functions:
      round down floor(x), round up ceiling(x)
    • the sign of a number:
      sign(x)
    • for probability theory:
      the error function erf(x) (integral of probability), Laplace function laplace(x)
    • Factorial of x:
      x! or factorial(x)
    • Gamma function gamma(x)
    • Lambert's function LambertW(x)
    • Trigonometric integrals: Si(x), Ci(x), Shi(x), Chi(x)

    The insertion rules

    The following operations can be performed

    2*x
    - multiplication
    3/x
    - division
    x^2
    - squaring
    x^3
    - cubing
    x^5
    - raising to the power
    x + 7
    - addition
    x - 6
    - subtraction
    Real numbers
    insert as 7.5, no 7,5

    Constants

    pi
    - number Pi
    e
    - the base of natural logarithm
    i
    - complex number
    oo
    - symbol of infinity