In lottery number analysis, the Interquartile Range (IQR) measures the spread of the middle 50% of drawn numbers. It is also used in showing how tightly or loosely the central values cluster, helping reveal typical spacing behavior in lotto results.
EuroMillions Charts
- Latest Draw Result
- Number Frequency
- Lucky Star Frequency
- Overdue Numbers
- Odd/Even Numbers
- High/Low Numbers
- Sum and Root Sum
- Hot and Cold Numbers
- Most Common Pairs
- Most Common Triplets
- Most Common Quadruplets
- Mean, STDEV, & Range Trend
- Mean Distribution
- Range Distribution
- STDDEV Distribution
- IQR Distribution
- Clustering Distribution
Box Plot and Histogram of Draw Interquartile Ranges
Below are the box plot of draw results and the histogram of interquartile range. It covers the winning EuroMillions numbers from Feb. 7, 2025 to Oct. 24, 2025 , across 75 draws over time.
Box Plot of Lotto Draw Results
The chart below displays the statistical distribution, spread, or variability of winning EuroMillions numbers. 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.
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 19 occurrences, suggesting a strong clustering in this interval. In contrast, the least frequent IQR interval is 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.
Format Changes in EuroMillions
Since its launch in 2004, EuroMillions has undergone several format changes aimed at enhancing and keeping the game competitive. These changes have adjusted the number pool over the years.
| Period | Format | Bonus Ball |
|---|---|---|
| February 2004 | 5 numbers out of 50 | 2 lucky stars out of 9 |
| May 10, 2011 | 5 numbers out of 50 | 2 lucky stars out of 11 |
| September 2016 | 5 numbers out of 50 | 2 lucky stars out of 12 |
The first major change occurred in 2011 when the Lucky Star pool increased from 9 to 11, making it more challenging to hit the jackpot. In 2016, the Lucky Stars increased again to 12.
How EuroMillions Format Changes Affect Your Number Strategy.
These format changes have a direct impact on statistical analysis. Mixing frequency data across different formats is not advisable because each version of the game has a different number pool and probability structure.
For example, a number that appeared frequently in the 2/9 lucky star format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 2/11 and 2/12 formats.
Therefore, for meaningful analysis, it’s essential to treat each format as its own distinct dataset. Analyzing trends or frequencies should be restricted to results from within the same format period, especially if the goal is to inform number selection in the current game structure.
EuroMillions Charts
- Latest Draw Result
- Number Frequency
- Lucky Star Frequency
- Overdue Numbers
- Odd/Even Numbers
- High/Low Numbers
- Sum and Root Sum
- Hot and Cold Numbers
- Most Common Pairs
- Most Common Triplets
- Most Common Quadruplets
- Mean, STDEV, & Range Trend
- Mean Distribution
- Range Distribution
- STDDEV Distribution
- IQR Distribution
- Clustering Distribution