For PythonL

1. Generate =100N=100 random numbers, Gaussian-distributed with =0=0 and =1=1.
2. Plot them in a histogram.
3. Compute mean, standard deviation (RMS), and the error on the mean. Is this what you expected?
4. Compute the median of this distribution
5. Now find the means, standard deviations, and errors on the means for each of the =1000M=1000 experiments of =100N=100 measurements each. Plot a histogram of the means. Is it consistent with your calculation of the error on the mean for =100N=100 ? About how many experiments yield a result within 11 of the true mean of 0 ? About how many are within 22 ? Is this what you expected?
6. Now repeat question 4 for =10,50,1000,10000N=10,50,1000,10000. Plot a graph of the RMS of the distribution of the means vs N. Is it consistent with your expectations ?