**Description and Instructions**

The Powerball numbers analysis presents data both on a table and a chart. The chart output can be viewed only
after selecting a specific data item and clicking on the "Show Bar Chart" button. Keep in mind that the analysis is
performed on 9/18/2013 and may not be the latest depending on when you are looking it. Analysis for any other draw day
from January 2010 can be selected on the calendar at the top right of this page.

The data are initially arranged by the numbers, in descending order. You may click on one of the column headings (FA, RA, FC, etc.)
to arrange them by the values of that column. For example, clicking on "FA" arranges all the data by the "Frequency for All
Draws", that is the number of times each Powerball number is drawn in all 2235 draws so far. This will place the least
frequently drawn Powerball numbers at the top, and the most frequently drawn at the bottom. The 'brief summary' on the
right lists the first 5 and the last 5 as 'Low End' and 'High End' values, respectively.

Once you have selected a heading, you can also see the Powerball data on a bar chart by clicking on the button at the
bottom of the table. Obviously, graphical representations will give you a visual idea of how the values are close and/or
far from each other. The bar charts can be arranged by number or by value.

Now, let's describe the significance of the data. Examining the Powerball frequency for all draws will reveal that higher
Powerball numbers are drawn significantly fewer times than lower numbers. This is because of subsequent matrix changes in
Powerball which started as 5/45 + 1/45 game and is now (today 9/18/2013) a 5/59 + 1/35 game. The "Relative Frequency for
All Draws" (RA) takes care of this discrepancy by taking into consideration the life span of a number in addition to the
number of times drawn. It is also an indication of how far a number is drawn below or above its expectations. A Relative
frequency value of 100 or close to 100 implies that the number is drawn the expected number of times. Thus, higher and
lower values indicate most frequently drawn and least frequently drawn Powerball numbers, respectively. On the bar chart
we have shown in black those numbers within 5% of the expected draws; in green are those with higher values, and in red
those with lower values.

In addition, we have listed both the total frequency and the Relative Frequency for the current Powerball matrix (5/59 + 1/35),
denoted by FC and RC. There are 492 draws of the current matrix so far. Note that for analysis purposes, we will consider the
last two matrices (5/59 + 1/35) and (5/59 + 1/39) as the current matrix since the difference is only in the PB numbers.

The next three columns deal with *skips*. The "Skipping Now" (SN) values indicate how many draws a Powerball number has not been
seen (until this draw). It may also be called "Last Seen" since the value is exactly how many draws have elapsed since a
number's last appearance. The Powerball numbers drawn today have an SN value of 0, while the highest values belong to long-time-no-see
Powerball numbers. In the bar chart, yellow indicates late Powerball numbers, red very late, and green nearly as expected.

The "Skipped before its Last Draw" (SL) is the draws that a Powerball number skipped when it was draw last. A value of 0 indicates
that the number was drawn back-to-back on its last appearance. If "Skipped before its Last Draw" (SL) and "Skipping Now" (SN) are
both 0, it means that the number is drawn back-to-back on this latest draw (on 9/18/2013).

"Record Skip" (SR) is just that; the longest time a Powerball number had disappeared. If both SR and SN have the same value, it
means that the number is breaking its record right now (on 9/18/2013).

Finally, "Back-to-back Draws" (BB) is how many times a Powerball number has been drawn back-to-back throughout it life time till this draw.