@ 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.