South Africa: Lotto 6/58 Plus 2

Lotto 6/58 Plus 2 Z-Score — Standardized Deviation

Lotto 6/58 Plus 2: how much each number deviates from the expected value

Z-Score analysis Z-Score shows how much the observed frequency of each Lotto 6/58 Plus 2 lottery number deviates from the expected value in units of standard deviation. A positive Z-Score means the number appears more often than expected, a negative one means less often.

Z-Score analysis of 20 draws for Lotto 6/58 Plus 2: numbers with the highest deviation — 33 (Z=2.89), 24 (Z=2.15).Frequency analysis →Pearson criterion →

Analysis based on 20 draws from to
0
Anomalies (|Z| > 3)
2
Deviations (|Z| > 2)
33
Hottest (Z=2.89)
28
Coldest (Z=-1.52)

Z-Score of all numbers

Standardized deviation of frequency from expected value
Added to generator 0 / 58
Selected 0
Ball addedBallZ-ScoreFrequencyStatus
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2.896Deviation
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2.155Deviation
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1.424Normal
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1.424Normal
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1.424Normal
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1.424Normal
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1.424Normal
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1.424Normal
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1.424Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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0.683Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.052Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-0.781Normal
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-1.520Notable
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-1.520Notable
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-1.520Notable
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-1.520Notable
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-1.520Notable
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-1.520Notable

Z-Score Interpretation Scale

|Z| < 1.5 — Normal
|Z| 1.5–2 — Notable
|Z| 2–3 — Deviation
|Z| > 3 — Anomaly

Z-Score Combination Generator

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What is Z-Score?

Mathematical foundations of the method

Z-Score (standardized deviation) is a statistical measure showing how many standard deviations an observed value differs from the expected value.

Formula

Z = (f - E) / σ

  • f — observed frequency of the number
  • E = n × p — expected frequency (n — number of draws, p = take/totalBalls)
  • σ = √(n × p × (1-p)) — standard deviation
Interpretation
In a fair lottery, the Z-Score of all numbers should approach 0 with a large number of draws. Values |Z| > 2 occur for ~5% of numbers, |Z| > 3 — for ~0.3%.

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