Quarter Spin:
How long does your spin last?
Bridget Sanelli
Kim Lor
Mrs. McNelis
Block 3
AP Statistics
Introduction

Quarter Spin
1. Subjects spin the quarter however they like
2. We time how long the spin lasts from when
it leaves their hands until it lays flat on the
desk
3. Subjects are given 3 trials and we record
the longest time
4. We recorded gender and whether or not
the subject played a sport as well
Overall Data
Shape: Unimodal with a slight left skew.
Center: Median - 13.62 seconds
Range: (8.06, 19.07)
Normality
Not a normal data set, which can be seen by the waves/ curves in the graph
Partner Data
Bridget
Shape: Right skewed ,unimodal
Center: Median- 13.375 seconds
Range: (8.06,19.07) 11.01
Kim
Shape: Bimodal
Center: Median- 14 seconds
Range: (8.82,18.21) 9.39
Comparison
Kim’s data had a larger median than Bridget’s
data. Bridget had a larger range than Kim.
Marginal Distribution
Tw o Way Table of Categorical
Gender
f
Play_a_Sport
m
Row
Summary
n
5
3
8
y
18
5
23
23
8
31
Column Summary
S1 = count
Gender
Female: 23/31= 74.9%
Play a Sport
No: 8/31= 25.81%
Male: 8/31= 25.81%
Yes: 23/31= 74.9%
*** SAME MARGINAL DISTRIBUTIONS***
Conditional Distribution
Conditional Distributions
Gender
f
n
Play_a_Sport
y
Column Summary
S1 = count
Conditional
of Sport
S2 = row
proportion
Conditional of Gender
S3 = columnproportion
Row
Summary
m
5
3
8
0.625
0.375
1
0.217391
0.375
0.258065
18
5
23
0.782609
0.217391
1
0.782609
0.625
0.741935
23
8
31
0.741935
0.258065
1
1
1
1
Marginal Distributions
Marginal Distributions
Association of Variables
Because the Marginal distribution of one of the variables does NOT equal the
conditional of the other variable, we know that gender and whether or not
someone plays a sport are NOT independent of each other.
Conclusion
Data was unimodal with slight left skew
 Median 13.62
 Not a normal distribution
 Categorical values are not independent of
each other
