I have several values of a function at different x points. I want to plot the mean and std in python, like the answer of this SO question. I know this must be easy using matplotlib, but I have no idea of the function's name that can do that. Does anyone know it?
The bell curve (what statisticians call a “normal distribution“) is commonly seen in statistics as a tool to understand standard deviation. The following graph of a normal distribution represents a great deal of data in real life. The mean, or average, is represented by the Greek letter μ, in the center.
If we don't have whole data but mean and standard deviation are available then the boxplot can be created by finding all the limits of a boxplot using mean as a measure of central tendency.
plt.errorbar
can be used to plot x, y, error data (as opposed to the usual plt.plot
)
import matplotlib.pyplot as plt import numpy as np x = np.array([1, 2, 3, 4, 5]) y = np.power(x, 2) # Effectively y = x**2 e = np.array([1.5, 2.6, 3.7, 4.6, 5.5]) plt.errorbar(x, y, e, linestyle='None', marker='^') plt.show()
plt.errorbar
accepts the same arguments as plt.plot
with additional yerr
and xerr
which default to None (i.e. if you leave them blank it will act as plt.plot
).
You may find an answer with this example : errorbar_demo_features.py
""" Demo of errorbar function with different ways of specifying error bars. Errors can be specified as a constant value (as shown in `errorbar_demo.py`), or as demonstrated in this example, they can be specified by an N x 1 or 2 x N, where N is the number of data points. N x 1: Error varies for each point, but the error values are symmetric (i.e. the lower and upper values are equal). 2 x N: Error varies for each point, and the lower and upper limits (in that order) are different (asymmetric case) In addition, this example demonstrates how to use log scale with errorbar. """ import numpy as np import matplotlib.pyplot as plt # example data x = np.arange(0.1, 4, 0.5) y = np.exp(-x) # example error bar values that vary with x-position error = 0.1 + 0.2 * x # error bar values w/ different -/+ errors lower_error = 0.4 * error upper_error = error asymmetric_error = [lower_error, upper_error] fig, (ax0, ax1) = plt.subplots(nrows=2, sharex=True) ax0.errorbar(x, y, yerr=error, fmt='-o') ax0.set_title('variable, symmetric error') ax1.errorbar(x, y, xerr=asymmetric_error, fmt='o') ax1.set_title('variable, asymmetric error') ax1.set_yscale('log') plt.show()
Which plots this:
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