@ Organization and Analysis of Collected Raw Data! @

 7 ,  5 ,  3 ,  6 ,  7 ,  8 ,  6 ,  3 ,  2 ,  2 ,  3 ,  7 ,  6 ,  6 ,  5 ,  9 ,  8 ,  3 ,  2 ,  3 ,  5 ,  4 ,  4 ,  5 ,  6 ,  3 ,  8,  9 ,  8 ,  7 ,  6 ,  5 ,  4 ,  6 ,  3 ,  7

To convert Raw Collected Data to Useable Information, data must be first organized.

To complete a careful and accurate organization of data, a table must be created

containing the ranked scores, the tallied frequencies, and the numeric totals.

The ranked scores can be in increasing or decreasing values, the tallied frequencies

must be acquired by carefully going through the raw data crossing out each score

as it is seen and a mark ( I ) placed in the frequency column.  Finally the numeric

value of the frequencies should be placed in the Totals column and summed up.

The Tally and Totals should be done a  couple of times  to be absolutely correct!

 Number Frequency Totals N times F 9 I I 2 18 8 I I I I 4 32 7 I I I I I 5 35 6 I I I I I I I 7 42 5 I I I I I 5 25 4 I I I 3 12 3 I I I I I I I 7 21 2 I I I 3 6 36 36 191

The sum of all the numbers totaled can be done by adding up each number,

one at a time.  Or, creating a Number times Frequency (Sub-Total) column and

adding the sub-totals up to get the entire total of all the numbers added together.

The Number times Frequency (Sub-totals) should be  done twice  to insure accuracy.

Now, once all of this critical and essential organization is done, calculations can be done.

 Mean = 191 / 36 = 5.3 Mode = 6 and 3 Median = 5.5

The Mean is the Total Value of Numbers divided by the Tally of Numbers.  The Mode is the

Most Frequent Number to be Tallied.  Thus a Bi-Modal since 6 & 3 both have 7.  Finally, the

Median which is the physical Middle Number thus 5.5 since no number is exactly in the middle

of the scores.  It is up to the student to investigate further explanations of Mean, Median,Mode.

What if the total of numbers was 35 instead of 36?  What if more than two scores had 7?

Students are to create a collection of raw data and to complete organization & calculations.