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Created: Sep 22, 2013
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Pairs of Shoes Female Vs. Male
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According to the graphical data representative of 650 individuals, (348 females and 302 males) it is clear that females own more shoes than males. In addition, males had a more consistant number of shoes than the females. From the histograms, both distributions of the pairs of shoes for males and females is skewed to the right. When a graph displays skewed right, the mean is larger than the median. The summary chart shows the relation between the mean and median, where the mean is slightly larger than the median for both males and females. 

The mean for the shoe amount for the 302 males was 10 and the median was 6.The minimum amount of shoes was at 1 pair and the maximum amount of shoes was 100 with a range of 99. The interquartile range was 6 and the standard deviation 0.82.

The mean for the shoe amount for the 348 females was 26.4 and the median was 20. The minimum amount of shoes was at 1 pair and 100 with a range of 99. The interquartile range was at 24 and the standard deviation 21.54.

About 10% of the males had about 2 pairs of shoes or less. About 10% of females had 6 pairs of shoes or less.

 Looking at the boxplot chart, there are numerous outliers. Given the Q1, Q3 and IQR the upper fences can be calculated.  The upper fence for the females is at 70.5. The outliers consist of 75, 75, 99, and 100 to name a few. The upper fence for the males is at 19. The outliers consist of 12, 15, 25, and 100 to name a few.

Result 1: Column Statistics pairs of shoes; female vs. males   [Info]
Summary statistics for Shoes:
Group by: Gender
Gender n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3 Sum 10th Per.
Female 348 26.422413 464.1755 21.544733 1.1549189 20 99 1 100 10.5 34.5 9195 6
Male 302 10 201.3422 14.18951 0.81651455 6 99 1 100 4 10 3020 2

Result 2: Histogram pairs of shoes; males   [Info]
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Result 3: Histogram pairs of shoes; females   [Info]
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Result 4: Boxplot pairs of shoes; female vs male   [Info]
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Result 5: Stem and Leaf pairs of shoes; males   [Info]
Variable: Shoes for Gender = Male
Decimal point is 1 digit(s) to the right of the colon.

0 : 111111222222222222222222222222222222333333333333333333333333333334444444444444444444444444444444444444444
0 : 5555555555555555555555555555555555555666666666666666666666666666666777777777777777777888888888888888888999999
1 : 000000000000000000000000111122222222333
1 : 55555555555666688
2 : 0000012334
2 : 578

High: 30, 30, 34, 34, 34, 34, 36, 40, 40, 41, 50, 50, 50, 58, 80, 100, 100, 100, 100


Result 6: Stem and Leaf pairs of shoes; females   [Info]
Variable: Shoes for Gender = Female
Decimal point is 1 digit(s) to the right of the colon.
 0 : 11223344444445555555555555555566666666666667777777778888889999999
 1 : 000000000000000000000011112222222222222333344455555555555555555555555555555555555667888
 2 : 0000000000000000000000000011222222222333344445555555555555555555555555555555578
 3 : 000000000000000000000022233444555557
 4 : 000000000000000000000002555555778
 5 : 0000000000000356
 6 : 00333555999
 7 : 0055579
 8 : 0056
 9 : 079
10 : 0000000


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By msullivan13803
Sep 30, 2013

Please sign your report.
By msullivan13803
Sep 30, 2013

I cannot believe some folks own 100 pairs of shoes. Wow!
Sep 22, 2013

I really liked the boxplot graphical summary for this set of data, for it really shows not only statistically but visually the huge amount of outliers in this set of data. It's also shows visually how many guys also own a lot of shoes, and it is not only limited to the female population.
-Erica Del Rosario
Sep 22, 2013

I really did like this data you used. How you organized the data was very helpful with understanding and comparing the males to the females. Most would just assume females have more shoes but when looking at the data males can have the same amount as females too. It was very interesting to study this data. Good job.
By jorndo31
Sep 22, 2013

Interesting survey. I think your analysis was good, and I think the Stem-and-Leaf plop was very illuminating as was the Box Plot. However, comparing the Stem-and-Leaf to the histogram, I think you should have chosen a smaller bandwidth for the histogram--there are too many observations near the lower class limit especially for the 0-20 bar and they get "lost." Otherwise, great job.

- Jim Orndorf

Always Learning