China: 大乐透
大乐透 Z-Score — Standardized Deviation
大乐透: how much each number deviates from the expected value
Z-Score analysis Z-Score shows how much the observed frequency of each 大乐透 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 大乐透: numbers with the highest deviation — Field 1: 2 (Z=3.29), 6 (Z=3.29), 9 (Z=2.65).Frequency analysis →Pearson criterion →
Analysis based on 20 draws from to
2
Anomalies (|Z| > 3)
8
Deviations (|Z| > 2)
2
Hottest (Z=3.29)
16
Coldest (Z=-1.83)
0
Anomalies (|Z| > 3)
0
Deviations (|Z| > 2)
1
Hottest (Z=-2)
1
Coldest (Z=-2)
Columns
Z-Score for field 1
Standardized deviation of frequency from expected value
Added to generator 0 / 35
Selected 0
| Ball added | Ball | Z-Score | Frequency | Status |
|---|---|---|---|---|
Add | 3.29 | 8 | Anomaly | |
Add | 3.29 | 8 | Anomaly | |
Add | 2.65 | 7 | Deviation | |
Add | 2.65 | 7 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 2.01 | 6 | Deviation | |
Add | 1.37 | 5 | Normal | |
Add | 1.37 | 5 | Normal | |
Add | 1.37 | 5 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.73 | 4 | Normal | |
Add | 0.09 | 3 | Normal | |
Add | 0.09 | 3 | Normal | |
Add | 0.09 | 3 | Normal | |
Add | 0.09 | 3 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -0.55 | 2 | Normal | |
Add | -1.19 | 1 | Normal | |
Add | -1.19 | 1 | Normal | |
Add | -1.19 | 1 | Normal | |
Add | -1.83 | 0 | Notable |
Z-Score Interpretation Scale
|Z| < 1.5 — Normal
|Z| 1.5–2 — Notable
|Z| 2–3 — Deviation
|Z| > 3 — Anomaly
Z-Score for field 2
Standardized deviation of frequency from expected value
Added to generator 0 / 12
Selected 0
| Ball added | Ball | Z-Score | Frequency | Status |
|---|---|---|---|---|
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable | |
Add | -2 | 0 | Notable |
Z-Score Interpretation Scale
|Z| < 1.5 — Normal
|Z| 1.5–2 — Notable
|Z| 2–3 — Deviation
|Z| > 3 — Anomaly
Z-Score Combination Generator
Generate combinations from numbers with the greatest deviation
Selected numbers for generator
0
G on keyboard — generate combination
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%.