用python写一个计算不确定度的程序
时间: 2023-05-25 07:02:19 浏览: 64
A:
```
# -*- coding: utf-8 -*-
"""
Created on Mon Jul 12 19:07:13 2021
Calculate Uncertainty Program
This program takes in a set of measurements with their associated uncertainties,
and calculates the uncertainty of a final calculated value.
"""
import math
# define functions used in calculations
def mean(data):
return sum(data)/len(data)
def variance(data, mean):
deviations = [(x - mean)**2 for x in data]
return sum(deviations)/(len(data)-1)
def standard_deviation(variance):
return math.sqrt(variance)
def calculate_uncertainty(values):
# calculate the mean of the measurements
x_bar = mean(values)
# calculate the variance of the measurements
s_sq = variance(values, x_bar)
# calculate the standard deviation of the measurements
s = standard_deviation(s_sq)
# calculate the uncertainty of the mean
u_x_bar = s/math.sqrt(len(values))
return u_x_bar
# main program
# example data - replace with your own measurements
measurements = [10.2, 9.9, 10.3, 9.8, 10.1]
# example uncertainties - replace with your own uncertainties
uncertainties = [0.1, 0.2, 0.1, 0.2, 0.1]
# calculate the uncertainty of the mean of the measurements
u_x_bar = calculate_uncertainty(uncertainties)
# print the uncertainty of the mean
print("The uncertainty of the mean is:", u_x_bar)
```
说明:本程序使用了均值、方差和标准差的概念,以及从方差定义中推导出的不确定度公式。以示例数据和不确定度作为输入示例。