This chart shows the Number Sum and Root Sum. The Number Sum is the sum of calculating the numbers in a combination of a draw result and reduce it to a single digit called "root sum". E.g., a combination of numbers 7, 8, 5, 3, 2, and 1 has a sum of 26. The root sum is 2+6 = 8. If the root sum is more than 1 digit, the root sum is computed again. Analyzing these values over time can sometimes reveal trends in sum totals that appear more frequently.
The graph below illustrates the trends of both the number sum and the root sum over 75 draws, from Apr. 18, 2024 to Sep. 18, 2025 . The Number Sum is the sum of the number combination, obtained by adding together all the numbers selected in a draw, while the Root Sum is derived by reducing the number sum to a single-digit value. Each point on the chart represents the respective values for a single draw, allowing for a clear visual comparison of how these two metrics fluctuate over time. Together, these lines help highlight any emerging patterns, anomalies, or correlations between the overall sum of numbers and their root values throughout the analyzed period.
The histogram of sums below is a statistical representation that illustrates how often different total values of lotto number combinations occur across 75 draws, from Apr. 18, 2024 to Sep. 18, 2025 . In lotto analysis, studying the distribution of sums helps identify whether draws tend to favor lower totals, higher totals, or mid-range totals, providing a clearer view of number spread patterns.
The possible range of sums is divided into bins or categories. In this case, the bins are defined as intervals such as 28-52 up to 203-224, each representing a continuous span of total values.
This division is important because lotto sums can vary widely, and grouping them into bins makes it easier to detect trends. For example, a cluster of sums in the middle intervals may suggest that draws are balanced between small and large numbers, while dominance in extreme bins could indicate a bias toward unusually low or high totals.
The histogram of sums provides useful insights into the overall totals of lotto draws. The most common sum range is 103-127 with 28 occurrences, indicating that many draws fall within this total range. Conversely, the least common sum range is 28-52, 203-224 with 0 occurrences, showing that relatively few draws produce totals in this span. This suggests a noticeable concentration of draws within certain total ranges.
In summary, the distribution of sums shows clustering around specific total ranges, suggesting that draws tend to gravitate toward these totals.
The histogram of root sums above below provides a way to visualize how lotto combinations across 75 draws, from Apr. 18, 2024 to Sep. 18, 2025 , behave when their sums are repeatedly reduced to a single-digit value (from 1 to 9), also called the digital root. This is often used to uncover hidden numerical patterns and balance among draws, since different number combinations can collapse into the same single-digit outcome.
The histogram divides the results into categories from 1 through 9, naturally, with each bin representing one root sum. By observing which categories are more or less frequent, analysts can quickly identify whether certain root sums dominate the outcomes or whether the distribution is fairly even.
The lottery number sum distribution reveals a total of 75 draws, from Apr. 18, 2024 to Sep. 18, 2025 , spanning 51 unique sum values. The weighted average sum is approximately 122.52, with a standard deviation of about 26.75.
The frequency of occurrences ranges from 1 to 3 draws for individual sums. For the root sum distribution, there are 75 unique root values with a total of 369 occurrences. The weighted average root sum is 35.74, with a standard deviation of 21.43. Frequencies range from 1 to 9 draws per root value.
The number sum distribution is uneven, with some values appearing significantly more often than others. The root sum distribution is uneven, with some values appearing significantly more often than others.
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.
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.