Penny Slide

Are you game?

Timothy Kariger and Taylor Young

Coin Slide

The procedureParticipants slide coins across a desk, trying to get the coin to stop in a goal zone marked by tape.Categories of data we recorded are: finger used to slide coin, gender, preferred coin, and number of coins landed

Quantitative data

Mean- 17.26Min-4Q1- 12Median- 23Max- 29Roughly uni modelRoughly symmetricNormal model?

Normal probability plot is linear

Number of coins landed follows a normal distributionQuantitative vs gender

22 girls total17 boys totalMean coins landedGirls- 17.18Boys- 17.35Median for girls: 19.5Median for boys:16Quartiles for genders-Girls- Q1=11, Q3=23Boys-Q1=12, Q3=23Min and max (range)Girls- 6,26(20)Boys- 4, 29(25)Finger used vs. Amount of coins landed

Highest number of coins landed: 2929 coins were landed in two different trials

Both a pointer finger and a middle finger landed 29 coinsMore people used pointer fingers (31 to 8)

Median number of coins landed:Middle- 18Pointer- 19Mean number of coins landed:Middle- 16.75Pointer-17.39Quantities data by partner

Under Timmean coins landed= 16.53Median coins landed=16Min=4 max= 29Quartiles- Q1= 11, Q3= 23

Under TaylorMean coins landed=17.7Median coins landed=19.5Min= 7 max= 29Quartiles- Q1= 13, Q3=22.5Overall Categorical data

Marginal's

56.4% tested were female43.5% tested were male% of preferred Dimes- 10.3Nickels- 15.4Pennies- 10.3Quarters- 64.1Conditionals

Percent of females that preferred:Dimes- 18.2Nickels- 22.7Pennies- 4.5Quarters- 54.5Percent of males that preferred:Dimes- 0Nickels- 5.9Pennies-17.6Quarters- 76.5Conditionals

% of dimes preferred by:Females- 100Males- 0% of nickels preferred by:Females- 83.33Males-16.67%of pennies preferred by:Females-25Males-75%of quarters preferred by:Females- 48Males- 52Independence between gender and preferred coin?Conditions for Chi squared test for independence were not met2 Expected counts were not greater than 5

If Marginal of Gender=conditional of coins, then the two are independentBut because the percentages of the conditionals are not similar, the two have some dependence.

ConclusionFemales were more consistentTim was a harder judge, the mean and median of his scores were lowerQuarters were most popular coinGender affects preferred coin

Lurking Variables-Coins displayed to participants may not have been evenly distributedHarshness of judge could affect number of coins landed