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EDRM611: Applied Statistics
Activity for Statistics Lesson 2
- Take a single die and roll it 24 times,
tallying the number of pips on the up face for each roll.
Give the results on the reverse side of this sheet in a frequency table.
- Combine your results with the other students
and present this information on the reverse side of this sheet as a bar graph.
What kind of distribution is it?
-
Rolling a standard six-sided (fair) die once would have
a sample space with six outcomes: 1, 2, 3, 4, 5, and 6.
Rolling a pair of dice would have a sample space of
six times six (62) or 36 possible outcomes.
Let's construct below right the sample space of rolling a pair of dice.
In each grid location (square) we must place both the indicated outcome
of the green AND the indicated outcome of the red die.
| \
| 1 |
2 |
3 |
4 |
5 |
6 |
|---|
| 1 | | | | | | |
|---|
| 2 | | | | | | |
|---|
| 3 | | | | (4,3) | | |
|---|
| 4 | | | (3,4) | | | |
|---|
| 5 | | | | | | |
|---|
| 6 | | | | | | |
|---|
Notice that green=3 and red=4 differs from green=4 and red=3.
These are like ordered pairs, with the first coordinate the horizontal
component (green die) and the second coordinate the vertical (red die).
[Note: this convention is in conflict with the convention of
(row,column). Please be sure to generate these consistant with those
already in the table.]
- Tally the number of times each pip total occurs in the
6×6 table above.
- Display the results from the problem above
in the form of a bar graph.
What kind of distribution is this?