Track the spread, distribution, and changes of winning lotto numbers over time. Identify clustering patterns and see how the number range widens or narrows across different draws.
Lotto Max Charts
Distribution, Spread, and Variability
In lottery analysis, the distribution, spread, and variability of winning numbers describe how the numbers are spaced out and how widely they differ from draw to draw. Sometimes they’re close together, sometimes they’re far apart. By examining measures such as quartiles, ranges, and number gaps, we gain insight into the balance and clustering of numbers rather than just their frequency. Quartiles show how numbers divide into lower, middle, and upper sections; the range highlights the gap between the smallest and largest values; and average gaps reveal how closely numbers group together. Studying these metrics is significant because it helps detect patterns of randomness, and spot unusual clustering
Below are the box plot of draw results, histogram of interquartile range, range, and number gaps. These charts provide a clearer statistical picture of how lotto draws behave over time. It covers the winning Lotto Max numbers from Dec. 20, 2024 to Sep. 5, 2025 , across 75 draws over time.
Box Plot of Lotto Draw Results Over Time
The chart below displays the statistical distribution, spread, or variability of winning Lotto Max numbers. Each box represents the middle 50% of numbers from the first quartile (Q1) to the third quartile (Q3), while the line inside the box marks the median winning number for that period. The “whiskers” extend to the minimum and maximum numbers drawn, and any points outside these whiskers indicate unusually low or high results relative to other draws. By tracking how the quartiles and range shift over time, the chart provides insight into the variability and spread of winning numbers, which can be used to visually assess the randomness and consistency of lotto draws.
Across all draws, the middle 50% of numbers were widely spread, indicating high variability. Overall, higher numbers tended to dominate the draws. Number distribution across ranges was generally balanced.
Histogram of Draw Interquartile Ranges
The histogram of interquartile ranges (IQR) focuses on the spread of the middle 50% of lotto numbers within each combination. By dividing these IQR values into bins, the histogram shows whether draws are typically compact or widely varied in their core distribution. This measure avoids extreme outliers and reveals the consistency of number spacing.
The histogram of interquartile ranges (IQR) of lotto draws reveals that the most frequent IQR interval is 18-23 with 30 occurrences, suggesting a strong clustering in this interval. In contrast, the least frequent IQR interval is 0-5, 42-47 with 0 occurrences, showing it is rarely observed. This indicates a noticeable concentration of draws around certain IQR intervals. Overall, the distribution shows clustering around specific IQR intervals, indicating that draws tend to gravitate toward these values.
Histogram of Draw Ranges
The histogram of ranges illustrates how spread out lotto numbers are within combinations. The range is the difference between the highest and lowest number in each draw. By dividing the ranges into bins, we can detect whether lotto draws usually produce tightly packed numbers or widely spaced ones. This histogram is useful in examining the consistency of number spread across many draws.
The most frequent range is 36-41 with 26 occurrences, suggesting that combinations with this level of spread are the most common. In contrast, the least frequent range is 6-11, 12-17, 18-23 with 0 occurrences, indicating that draws falling into this spread are relatively rare. This points to a clear clustering of draws around certain range values. Overall, the distribution of ranges tends to cluster in certain spread intervals, showing that draws are more likely to fall within these specific ranges.
Histogram of Number Clustering
The histogram of average gaps measures the typical spacing between consecutive numbers in lotto draws. Each bin represents a range of average gaps, showing whether numbers tend to cluster closely together or spread evenly across the draw. This histogram helps analysts detect patterns in number spacing, complementing other perspectives such as sums and ranges.
The histogram of average gaps between consecutive numbers in lotto draws reveals that the most frequent gap interval is 6, 7 with 5 occurrences, suggesting a strong clustering in this interval. In contrast, the least frequent gap interval is 1, 2, 3 with 0 occurrences, showing it is rarely observed. This indicates a noticeable concentration of draws around certain gap intervals. Overall, the distribution shows clustering around specific gap intervals, indicating that draws tend to gravitate toward these values.