The Mean is one of the basic statistics often used to study past draws. It shows the average of the numbers drawn which helps in measuring and illustrating how random numbers can cluster around certain mean values over time.
Powerball Charts
- Latest Draw Result
- Number Frequency
- Power Ball 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
- Most Common Quintupletss
- Mean, STDEV, & Range Trend
- Mean Distribution
- Range Distribution
- STDDEV Distribution
- IQR Distribution
- Clustering Distribution
Histogram of Means
In lottery analysis, a histogram of means is used as a statistical tool to illustrate how often different average values of lotto combinations occur across multiple draws. This helps identify whether drawn combinations tend to produce lower, middle, or higher average numbers, giving insight into the overall balance and spread of outcomes.
The chart below is a histogram of mean values of lotto combinations from Jun. 20, 2024 to Nov. 20, 2025 , covering 75 draws. The range of possible means is divided into categories or bins. In this case, the bins are defined as intervals such as 1-5 up to 31-35, each representing a continuous range of mean values.
This division is necessary because individual mean values can vary widely, and grouping them into intervals makes patterns easier to observe. For example, by examining how frequently means fall into each bin, anyone can quickly see whether the draws are evenly distributed, clustered in particular ranges, or biased toward lower or higher averages.
The histogram of mean values reveals notable patterns. The most frequent mean range is 16-20 with 39 occurrences, suggesting this interval is the most common outcome across the draws. On the other hand, the least frequent mean range is 1-5, 31-35 with 0 occurrences, indicating relatively rare outcomes in this interval. This suggests a strong concentration of mean values within specific ranges. In summary, the distribution of mean values shows a tendency for draws to cluster around the higher-frequency ranges.
Format Changes in Australian Powerball
The Australian Powerball lottery has undergone several format changes since its launch in 1996, each significantly impacting how number frequency analysis should be conducted. Below is the timeline of the Australian Powerball format changes:
| Period | Format | Powerball |
|---|---|---|
| 1996-2013 | 5 numbers from a pool of 45 (5/45) | 1 number from the same pool of 45 |
| March 1, 2013 - April 12, 2018 | 6 numbers from a pool of 40 (6/40) | 1 number from a separate pool of 20 (1-20) |
| April 13, 2018 - Present | 7 numbers from a pool of 35 (7/35) | 1 number from a separate pool of 20 (1-20) |
From 1996 to 2013, the game followed a 5/45 format, where players selected five main numbers from 1 to 45 and one Powerball from the same pool. In March 2013, the format changed to 6/40 + Powerball 1–20, meaning players had to choose six main numbers from 1 to 40 and a Powerball from a separate pool of 20. This shift altered the odds and made previous number frequency data less relevant. Then, in April 2018, the format changed again to its current form: 7/35 + Powerball 1–20. This increased the difficulty of winning the jackpot but introduced more prize divisions and larger potential jackpots.
How Australian Powerball 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 5/45 format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 6/40 or 7/35 formats. Furthermore, changes to the Powerball pool—from 1–45 to 1–20—also significantly affect how often specific Powerball numbers appear.
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.
Powerball Charts
- Latest Draw Result
- Number Frequency
- Power Ball 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
- Most Common Quintupletss
- Mean, STDEV, & Range Trend
- Mean Distribution
- Range Distribution
- STDDEV Distribution
- IQR Distribution
- Clustering Distribution