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 a specified period of lottery draws. 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. The number sum, typically representing the total of all drawn numbers, while the root sum—derived by reducing the number sum to a single-digit value. 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 table below displays the most frequently occurring number sums within the analyzed set of draws. It is organized into two columns: the first column lists the distinct number sums observed, while the second column shows the corresponding count of draws in which each sum appeared. This format makes it easy to identify which number sums occur most often, providing insight into potential patterns or biases in the draw outcomes. By examining this table, one can quickly determine which sums are statistically more common and may be worth monitoring in future draws.
Number Sum | Draw Count | |
---|---|---|
169 |
|
4 |
175 |
|
3 |
147 |
|
3 |
142 |
|
3 |
137 |
|
3 |
114 |
|
2 |
146 |
|
2 |
203 |
|
2 |
184 |
|
2 |
185 |
|
2 |
216 |
|
2 |
156 |
|
2 |
144 |
|
1 |
124 |
|
1 |
171 |
|
1 |
227 |
|
1 |
154 |
|
1 |
255 |
|
1 |
189 |
|
1 |
179 |
|
1 |
183 |
|
1 |
121 |
|
1 |
160 |
|
1 |
145 |
|
1 |
108 |
|
1 |
139 |
|
1 |
199 |
|
1 |
190 |
|
1 |
174 |
|
1 |
192 |
|
1 |
195 |
|
1 |
118 |
|
1 |
130 |
|
1 |
159 |
|
1 |
158 |
|
1 |
224 |
|
1 |
247 |
|
1 |
206 |
|
1 |
197 |
|
1 |
140 |
|
1 |
219 |
|
1 |
161 |
|
1 |
155 |
|
1 |
194 |
|
1 |
151 |
|
1 |
215 |
|
1 |
187 |
|
1 |
191 |
|
1 |
168 |
|
1 |
217 |
|
1 |
138 |
|
1 |
117 |
|
1 |
180 |
|
1 |
208 |
|
1 |
162 |
|
1 |
152 |
|
1 |
143 |
|
1 |
The table and graph below presents the most common root sums observed across the analyzed draws. The table includes two columns: one for the root sum values—each derived by reducing the number sum to a single digit—and another indicating the number of draws in which each root sum occurred. This allows for easy identification of the most frequent root sums. While the pie chart visually represents the distribution of root sums, offering a clear and immediate view of how evenly or unevenly these values are spread across all draws.
Root Sum | Draw Count | |
---|---|---|
1 |
|
7 |
2 |
|
8 |
3 |
|
11 |
4 |
|
9 |
5 |
|
7 |
6 |
|
5 |
7 |
|
11 |
8 |
|
8 |
9 |
|
9 |
Oz Lotto, Australia’s first national lottery, has undergone several format changes since its launch in 1994. Below is the timeline of the Australia's Oz lotto format changes:
Period | Format | Supplementary Nos. |
---|---|---|
1994 - Oct. 11, 2005 | 6 numbers from a pool of 45 (6/45) | 2 numbers from the same pool. |
Oct. 18, 2005 - May 10, 2022 | 7 numbers from a pool of 45 (7/45) | 2 number from the same pool. |
May 17, 2022 - Present | 7 numbers from a pool of 47 (7/47) | 3 number from the same pool |
Initially, the game required players to select six numbers from a pool of 45, and two supplementary numbers were drawn to help determine secondary prizes. In October 2005, the format was modified to increase the number of main numbers drawn from six to seven, still from a pool of 45, while retaining two supplementary numbers. This change made the jackpot more difficult to win but allowed for larger prize pools. In May 2022, Oz Lotto underwent another significant update. The number pool was increased from 45 to 47, while the game continued to draw seven main numbers. Additionally, the number of supplementary numbers increased from two to three. Along with this change, the minimum jackpot prize was raised from $2 million to $3 million, and the overall odds of winning any prize improved, creating more opportunities for players to win across additional prize divisions. These changes reflect Oz Lotto's ongoing efforts to remain engaging and competitive within Australia’s lottery landscape.
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 6/45 format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 7/45 or 7/47 formats. Furthermore, changes to the number pool also significantly affect how often a specific supplementary 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.