UK lottery -Analysis by frequency

This page shows graphically the total number of times each ball has been drawn (including as the bonus ball ).There are also representations of the occasions when differently numbered balls have been drawn the same number of times. Chart f3 shows all the discrete total counts and how many balls have this count.

Chart f4 groups counts into bin sizes of 4. It is this representation which shows the how the lottery approximately follows the binomial (or the Normal) distributions.


  
ChartObject Top 20 balls-Number of times each ball has been drawn

Chart f1. The top 20 balls

ChartObject Number of times each ball has been drawn -The rest of the field

Chart f2. The bottom 29 balls

ChartObject Frequency of balls coming out:- the number of times each ball has appeared

Chart f3. Where one or more balls have been drawn the same total number
of times, this plots how many balls have been drawn this many times




 

ChartObject Histogram multiple ball counts and Binomial distribution

Chart f4. By grouping counts of balls drawn falling in a range of values of range 4 (bin size 4),
this chart shows how the numbers drawn resembles the Normal distribution.

 
 
 

 

      

Draw statistics 

The table on the right below is a summary of lottery statistics in terms of total times drawn per ball and is reflected by the graphical results above. See glossary below for terms.

The table on the left lists the last 12 lottery results, each column lists the 7 drawn balls in the relevant week. Where a ball was drawn it is marked with a tick.  The hot balls will have many ticks along their rows, especially in recent weeks.

Also shown is recency rating, a figure derived by weighting the most recent appearances and accumulating over 12 draws. "Ahead/behind" is the difference between the expected frequency and the actual. "Times overdue" is the number of draws since last appearance divided by 7. (Each ball is expected on average to appear once in a period of 7 draws.)

 
Minimum 236
Maximum 327
Standard deviation 18.13
Total population 14455
Average 295.00
Median 295
Mode 298
                 2015-10-08 11:39

Glossary of Statistical terms used here. 

Minimum ...... The number of times the least drawn (coldest) number has been drawn. It forms the lower boundary of the above graph.

Maximum ...... The number of times the most drawn number has been drawn. It forms the upper boundary of the above graph.

Standard deviation...... a measure of the spread of the number of times drawn. It is expressed as a number which when added and subtracted from the average, provides the range within which most of the results fall. Graphically it is reflected in the fatness of the normal distribution curve shown above.

Total population...... The number of balls drawn since the lottery began on Draw 1. If you multiply each bar height (how many balls in chart f3) by its number of times out , and add them all up - it equals this figure. 

Average or mean......The total number of balls drawn (total population) divided by 49.

Median......The middle number taken from the range of number of times drawn.

Mode......The most popular number of times drawn (i.e by a selection of balls). Where in chart f3 there is no clear indication of the number of times out corresponding to the highest single column - (this is the Mode), this software will return the highest Mode where it finds more than one.

              



Lottery machine utilisation and ball sets.
Note machines introduced Oct 2003 used till 2009 have their own page .

Click here for 2003 machine set utilisation
Policy on using draw machines as of late 2009.
Amethyst, Opal, Topaz, Moonstone, Pearl and Garnet are not being used for the Lotto.
Original machines Lancelot, Merlin Arthur and Guinevere have had a revival and are now being used for the Lotto.
 
You can click each segment to see which sets were used with each machine. Note Merlin, Vivyan, and Galahad made late entries to the Lottery hence their comparatively small usage.

 
 
A Late starter compared with Arthur, Lancelot and Guinivere. First used in draw 268 15/July/1998

Back to machine pie chart

 
 
First used on draw 20, 1/April/1995

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Guinivere has been used from the start in 1994. Note Ball sets A and B were only used for the first 8 draws, later being renamed sets 1 and 2

Back to machine pie chart

 
 
Arthur has been used from the start in 1994. Note Ball sets A and B were only used for the first 8 draws

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Introduced October 2000

Back to machine pie chart

 

Introduced November 2000.

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