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Candyland 2.0

Data Management ISU
by

Maegan Kit

on 9 June 2011

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Transcript of Candyland 2.0

Candyland 2.0 VERSION 2 -Hypergrometric Distribution
-Geometric Distribution
-Binomial Distribution

-Mean, Median, and Mode

-Quattro Pro

-Fathom

-Standard Deviation

-Correlation Coefficent

-Equation for the Line of Best Fit

-Interpolation & Extrapolation Step 1) Birth month: record your birth month and recieve points based on point allocations
-January-April: 100pts
-May-August: 500pts
-September-December: 700pts Step 2) Dice roll: Roll the dice 3 times and after record your points according to the point allocations
Sides of the dice: chocolate, gum, lollipop, fuzzy peach
-if you roll and lollipop 2+ times: 400pts
-anything else: 100pts Step 3) Spinner: Spin 5 times and record your points as allocated
*1 pink section, 3 purple sections, 4 rainbow sections
-if you land on a pink section for the 1st time on the 5th spin: 500pts
-anything else: 75pts Step 4) Draw 3 cards from the deck of 12, without replacement, record your points as allocated
*there are 3 kitkats, 7 aeros, 2 coffee crisps
-if you pick one or more coffee crisps: 1100pts
-anything else: 300pts Win Criteria: 1900pts New concepts learned in data management used in the game: Maegan & David -Binomial Distribution: used when calculating the die statistics
P(rolling a lollipop 2 or more times)
P= [(3C2) x (1/4)² x (3/4)^1 + (3C3) X (1/4)^3 x (3/4)^0]
= 0.15625

P(rolling a lollipop 1 or no times)
P= [(3C1) x (1/4)^1 x (3/4)² + (3C0) x (1/4)^0 x (3/4)^3)]
= 0.84375 Hypergeometric Distribution: used when calculating the card statistics

P(1 or more coffee crisp)
P=(2C1) x (10C2) + (2C2) x (10C1)
--------------------- ---------------------
(12C3) (12C3)

P(no coffee crisps)
P= 1-0.4545
= 0.5455 Geometric Distribution: used when calculating the spinner statistics
P(pinks occurs first time on 5th spin)
P(x=4) = (7/8)^4 (1/8)
= 0.07327

P(pink doesn't occur first time on 5th spin)
1 - P(4)
= 1 - (7/8)^4 (1/8)
= 0.9267 -Fathom: Used to create a scatter plot that illustrated the line of best fit and determined both the Correlation Coefficent and the Equation for the Line of Best Fit Mean, Median, and Mode Mean:
-added up all of our point values that was recieved and divided by the number of players (30)

mean: 575 + 875...+ 2500
-----------------------
30
= 1535 Median:
-divided the number of data values by 2 to get the average

median: 30/2
=15
*Because it was a whole number we had to take the 15th and 16th values and average them together

Therefore median = 15th value + 16th value
-----------------------------
2
=1400 + 1475
---------------
2
= 1437.5 Mode:
-the data values that occured the most in our findings

mode = 1275 & 1300 Quattro Pro
Created a spreadsheet application to figure out the:
-mean
-median
-mode
-expected value
-correlation coefficent The correlation coefficient was used to understand the proximity and relation that the Birth Month had with our Total Point Values gained. Our Correlation Coefficient was 0.365621, which would be roughly a moderate positive CC. The Line of Best Fit is used to calculate the average amount of points that the player(s) received while they played our game.
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