Yeah absolutely...It's just occurred to me that batting medians would actually be of tremendous use in gambling (in the cases where you're betting over/under a certain amount a batsman will score when he comes in to bat). In fact, I wouldn't be surprised to find that bookmakers use data like this to set the lines in the first place.
oh ok. My concept of median was a little screwed upAdamC is absolutely right mate
STD only useful when the distribution is near Gaussian. Otherwise it's a percentile that has to be used in a highly skewed distribution like this.Why not calculate standard deviation if you want to assess the impact of outliers?
Even if batting scores follow a lognormal distribution (not sure if they do - but lognormal should be closer to it than normal for sure), we can always arrive at the %ile figures given average and stdev.STD only useful when the distribution is near Gaussian. Otherwise it's a percentile that has to be used in a highly skewed distribution like this.
True, point taken from statistician viewpoint. But I am not sure how a lay person would understand mean log batting average and standard deviation of log batting scores.Even if batting scores follow a lognormal distribution (not sure if they do - but lognormal should be closer to it than normal for sure), we can always arrive at the %ile figures given average and stdev.
How to calculate percentile given his scores? What is the formula?STD only useful when the distribution is near Gaussian. Otherwise it's a percentile that has to be used in a highly skewed distribution like this.
Percentile - Wikipedia, the free encyclopediaHow to calculate percentile given his scores? What is the formula?