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   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   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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Related Lotto Interquartile Range (IQR) Distribution

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Last 75 draws
From May. 14, 2025 To Nov. 5, 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 May. 14, 2025 to Nov. 5, 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 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 9-17 with 19 occurrences, suggesting a strong clustering in this interval. In contrast, the least frequent IQR interval is 63-66 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 US Powerball Lottery

Since its inception on April 22, 1992, the U.S. Powerball has undergone several significant changes in format and structure. At launch, Powerball became the first lottery game to use a dual-drum format—drawing five white balls from one set and one red Powerball from another—designed to create more prize tiers. Initially, players selected 5 numbers from 45 white balls and 1 from 45 Powerballs.

In November 1997, the format changed to 5/49 + 1/42. This was followed by another change in October 2002, expanding the white ball pool to 53 while keeping the Powerball at 42. By August 2005, the white balls increased again to 55. A major change occurred in January 2009, with the matrix becoming 5/59 + 1/39. Around this time, Florida joined the game, and the drawings were moved there.

One of the most notable changes came in January 2012 when the Powerball pool was reduced to 35, while the white balls remained at 59. Another significant format change was introduced in October 2015, adjusting the matrix to 5/69 + 1/26. This increased the odds of winning smaller prizes while making the jackpot harder to win, with overall odds shifting to approximately 1 in 292 million.

Period Format Powerball
April 1992 5 of 45 1 of 45
November 1997 5 of 49 1 of 42
October 2002 5 of 53 1 of 42
August 2005 5 of 55 1 of 42
January 2009 5 of 59 1 of 39
January 2012 5 of 59 1 of 35
October 2015 5 of 69 1 of 26

How US Powerball Lotto 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 5/49 format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 5/69 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.

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