Powerball Interquartile Range (IQR) Distribution

  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, and Range Trend   Mean Distribution   Range Distribution   STDDEV Distribtion   IQR Distribution   Clustering Distribution
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  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, and Range Trend   Mean Distribution   Range Distribution   STDDEV Distribtion   IQR Distribution   Clustering Distribution

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.

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Last 75 draws
From Jun. 20, 2024 To Nov. 20, 2025

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 Powerball numbers from Jun. 20, 2024 to Nov. 20, 2025 , across 75 draws over time.

Box Plot of Lotto Draw Results

The chart below displays the statistical distribution, spread, or variability of winning Powerball 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 showed moderate spread, suggesting balanced variability. Overall, lower 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 8-11, 12-15 with 20 occurrences, suggesting a strong clustering in this interval. In contrast, the least frequent IQR interval is 0-3, 28-32 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 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.

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