Illinois Lotto Mean Distribution

  Number Frequency   Extra Shot 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   Extra Shot 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

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.

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Related Lotto Mean Distribution

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Last 75 draws
From Jul. 17, 2025 To Jan. 5, 2026

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 Jul. 17, 2025 to Jan. 5, 2026 , 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 1-7 up to 50-50, 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 22-28 with 30 occurrences, suggesting this interval is the most common outcome across the draws. On the other hand, the least frequent mean range is 1-7, 43-49, 50-50 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 Illinois Lotto

The Illinois Lotto has undergone several format changes below since its launch to enhance gameplay:

Period Format Extra Shot
February 19, 1983 6/40 None
May 13, 1984 6/44 None
April 15, 1990 6/54 None
October 28, 1998 6/52 None
November 4, 2012 6/52 1/25
September 2021 6/50 1/25

How Illinois Lotto Format Changes Affect Your Number Strategy.

The 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 6/50 format may have done so due to higher individual draw probability, but that same frequency can be misleading in the 6/52 and 6/54 format.

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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