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Z Transform Calculator

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Use this calculator to compute the z-score of a normal distribution.

  1. Online Z Transform Calculator
  2. Online Z Transform Calculator
  3. Z Transform Calculator Online
  4. Inverse Z Transform Calculator With Boundaries

Added Oct 13, 2017 by tygermeow in Engineering. Simplest form of Z-Transform. This super basic widget just gives you an open window to use as your hand calculator and save you the trouble of tedious programming repetition for simple results. Below $ xn $, $ x1n $ and $ x2n $ are DT signals with z-transforms $ X(z) $, $ X1(Z) $, $ X2(z) $, and region of convergence (ROC) $ R $, $ R1 $, $ R2 $, respectively. Signal Z-Transform.


Z Transform Calculator

Z-score and Probability Converter

Z Transform Calculator

Please provide any one value to convert between z-score and probability. This is the equivalent of referencing a z-table.


Online Z Transform Calculator

Probability between Two Z-scores

Calculator

Z-score and Probability Converter

Please provide any one value to convert between z-score and probability. This is the equivalent of referencing a z-table.


Online Z Transform Calculator

Probability between Two Z-scores

Use this calculator to find the probability (area P in the diagram) between two z-scores.


RelatedStandard Deviation Calculator

What is z-score?

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

The z-score can be calculated by subtracting the population mean from the raw score, or data point in question (a test score, height, age, etc.), then dividing the difference by the population standard deviation:

z =
x - μ
σ

Online Z Transform Calculator

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Z Transform Calculator Online

The z-score has numerous applications and can be used to perform a z-test, calculate prediction intervals, process control applications, comparison of scores on different scales, and more.

Z-table

A z-table, also known as a standard normal table or unit normal table, is a table that consists of standardized values that are used to determine the probability that a given statistic is below, above, or between the standard normal distribution.

The table below is a right-tail z-table. Although there are a number of types of z-tables, the right-tail z-table is commonly what is meant when a z-table is referenced. It is used to find the area between z = 0 and any positive value, and reference the area to the right-hand side of the standard deviation curve.

Inverse Z Transform Calculator With Boundaries

z00.010.020.030.040.050.060.070.080.09
000.003990.007980.011970.015950.019940.023920.02790.031880.03586
0.10.039830.04380.047760.051720.055670.059620.063560.067490.071420.07535
0.20.079260.083170.087060.090950.094830.098710.102570.106420.110260.11409
0.30.117910.121720.125520.12930.133070.136830.140580.144310.148030.15173
0.40.155420.15910.162760.16640.170030.173640.177240.180820.184390.18793
0.50.191460.194970.198470.201940.20540.208840.212260.215660.219040.2224
0.60.225750.229070.232370.235650.238910.242150.245370.248570.251750.2549
0.70.258040.261150.264240.26730.270350.273370.276370.279350.28230.28524
0.80.288140.291030.293890.296730.299550.302340.305110.307850.310570.31327
0.90.315940.318590.321210.323810.326390.328940.331470.333980.336460.33891
10.341340.343750.346140.348490.350830.353140.355430.357690.359930.36214
1.10.364330.36650.368640.370760.372860.374930.376980.3790.3810.38298
1.20.384930.386860.388770.390650.392510.394350.396170.397960.399730.40147
1.30.40320.40490.406580.408240.409880.411490.413080.414660.416210.41774
1.40.419240.420730.42220.423640.425070.426470.427850.429220.430560.43189
1.50.433190.434480.435740.436990.438220.439430.440620.441790.442950.44408
1.60.44520.44630.447380.448450.44950.450530.451540.452540.453520.45449
1.70.455430.456370.457280.458180.459070.459940.46080.461640.462460.46327
1.80.464070.464850.465620.466380.467120.467840.468560.469260.469950.47062
1.90.471280.471930.472570.47320.473810.474410.4750.475580.476150.4767
20.477250.477780.478310.478820.479320.479820.48030.480770.481240.48169
2.10.482140.482570.4830.483410.483820.484220.484610.4850.485370.48574
2.20.48610.486450.486790.487130.487450.487780.488090.48840.48870.48899
2.30.489280.489560.489830.49010.490360.490610.490860.491110.491340.49158
2.40.49180.492020.492240.492450.492660.492860.493050.493240.493430.49361
2.50.493790.493960.494130.49430.494460.494610.494770.494920.495060.4952
2.60.495340.495470.49560.495730.495850.495980.496090.496210.496320.49643
2.70.496530.496640.496740.496830.496930.497020.497110.49720.497280.49736
2.80.497440.497520.49760.497670.497740.497810.497880.497950.498010.49807
2.90.498130.498190.498250.498310.498360.498410.498460.498510.498560.49861
30.498650.498690.498740.498780.498820.498860.498890.498930.498960.499
3.10.499030.499060.49910.499130.499160.499180.499210.499240.499260.49929
3.20.499310.499340.499360.499380.49940.499420.499440.499460.499480.4995
3.30.499520.499530.499550.499570.499580.49960.499610.499620.499640.49965
3.40.499660.499680.499690.49970.499710.499720.499730.499740.499750.49976
3.50.499770.499780.499780.499790.49980.499810.499810.499820.499830.49983
3.60.499840.499850.499850.499860.499860.499870.499870.499880.499880.49989
3.70.499890.49990.49990.49990.499910.499910.499920.499920.499920.49992
3.80.499930.499930.499930.499940.499940.499940.499940.499950.499950.49995
3.90.499950.499950.499960.499960.499960.499960.499960.499960.499970.49997
40.499970.499970.499970.499970.499970.499970.499980.499980.499980.49998




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