pointStats.py
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pointStats.py is a Python-based IID point estimation system.
- Context:
- It uses a Python Function.
- …
- Counter-Example(s):
- See: Sample Statistic, Standard Deviation.
References
2015
- http://docs.python.org/3/library/statistics.html
- QUOTE: This module provides functions for calculating mathematical statistics of numeric (Real-valued) data.
2011
############################################## # pointStat.py (v1.0) - Calculate some point statistics. # Output: results in a hash {Average}{Min}{Max}{Median}{SquareSum}{StdDev} # Assumptions: a non-empty numeric list input. def pointStats( Numlist ): "This Python function returns several well known population statistics." # ideally should test if non-empty ... cnt_val = len(Numlist) sum_val = 0; for val in Numlist: sum_val += val # sum_val = sum(Numlist) avg_val = float(sum_val) / cnt_val SortedNumlist = sorted (Numlist) med_val = 0 if cnt_val % 2 == 1: med_val = SortedNumlist[(cnt_val+1)/2-1] else: lower = SortedNumlist[cnt_val/2-1] upper = SortedNumlist[cnt_val/2] med_val = (float(lower + upper)) / 2 min_val = SortedNumlist[0] max_val = SortedNumlist[cnt_val-1] varS_val = 0 for val in Numlist: varS_val += (avg_val - val) ** 2 stddev_val = (varS_val / cnt_val) ** 0.5 Result = {} Result["Count"] = cnt_val Result["Sum"] = sum_val Result["Average"] = avg_val Result["Min"] = min_val Result["Max"] = max_val Result["Median"] = med_val Result["VarSquSum"] = varS_val Result["StdDev"] = stddev_val return Result #return cnt_val, min_val, max_val, avg_val, med_val, stddev_val ; # Call the pointStats function NumList = [2, 20, 24, 19] Result = pointStats( NumList ) print Result # {'Count': 4, 'Min': 2, 'Max': 24, 'Sum': 65, 'Median': 19.5, 'VarSquSum': 284.75, 'StdDev': 8.4372685, 'Average': 16.25}