In: Statistics and Probability
In the 145 years of the running of the Kentucky Derby, the overall average speed of the horses under all track conditions has been 35.9025mph. Only nine years have been run under sloppy track conditions, including the last two years. Sloppy track conditions occur when the track is saturated with water with standing water visible. The speeds (mph) of the horses in these nine years were: 36.31, 36.23, 36.62, 36.16, 36.69, 36.27, 36.41, 35.89, and 35.27.
Midrange
Midhinge
Trimmed Mean
Weighted mean (use sequence number as the weights)
Standard deviation
Inner Quartile Range (IQR)
Variance
Mean Absolute Deviation (MAD)
Coefficient of Variation (CV)
Skew
Kurtosis
Anderson-Darling Normality Test p-value
Lower Inner Fence of the Boxplo
Z-score for the first value in the dataset