How to Calculate Harmonic Mean in MATLAB?

How To Calculate Standard Deviation in MATLAB?

Last Updated : 26 Apr, 2025

Standard deviation is a statistical quantity that tells us how much-distributed data is from its mean value. Standard deviation can also be defined as the square root of the Variance of the same data.

Standard Deviation in MATLAB:

MATLAB provides a simple function to calculate the standard deviation of data, the std() function, which is very similar to the var() function which calculates the variance of data. The syntax of std() function is:

std_dev = std(<data>, <weight>, …)

Where, <data> is the data in the form of an array or vector and <weight> is an optional argument, which stores the weights of the corresponding data.

Let us understand the std() function with examples and see how to calculate the standard deviation of different types of data.

Example 1:

Matlab

% MATLAB code for Standard Deviation
% Creating data vector
 data = 23:55;
 
% Calculating standard deviation
 std_dev = std(data);
 
 disp(std_dev)

Output:

Let us find the standard deviation when the same data as above have weights.

Example 2:

Matlab

% Standard deviation when the same data as weight
% Creating data vector
    data = 23:55;
% Creating weights
    w = linspace(0.5,2.1,33);
 
% Calculating standard deviation
    std_dev = std(data,w);
 
    disp(std_dev)

Output:

MATLAB also allows the calculation of the standard variance of a multidimensional vector along a particular dimension (less than the maximum dimension) as follows.

Example 3:

Matlab

% MATLAB code for standard variance 
% of a multidimensional vector 
% Creating data vector
    data = [23 55 32; 1 3 5; 9 13 8.25];
 
% Calculating standard deviation at all points
std_dev = std(data,0,"all");
disp(std_dev)
 
% Calculating standard deviation along dimension 1
std_dev = std(data,0,1);
disp(std_dev)
 
% Calculating standard deviation along dimension 2
std_dev = std(data,0,2);
disp(std_dev)

Output:

How to Calculate Harmonic Mean in MATLAB?

O

owl0223

Improve

Article Tags :

Similar Reads

How to Calculate Standard Deviation?

Standard Deviation is a measure of how data is spread out around the mean. It is a statistical tool used to determine the amount of variation or dispersion of a set of values from the mean. A low standard deviation indicates that the data points are clustered closely around the mean, while a high st

How to Calculate Pooled Standard Deviation in R

In this article, we will learn How to Calculate Pooled Standard Deviation in R. Pooled Standard DeviationThis is a weighted average of standard deviations of two or more groups which are independent. In statistics, it is used to test whether or not the means of two populations are equal. Mathematica

How to Calculate Relative Standard Deviation in Excel?

Definition: Related standard deviation is also known as the relative percentage standard deviation form, the deviation measurement which tells us how different numbers are dispersed around the mean in a particular set of data. This format shows the percentage distribution of data. If a relative stan

How to Calculate Harmonic Mean in MATLAB?

Harmonic mean is a type of mean, which is a measure of central tendencies of data, in statistics that gives large weightage to smaller data and small weightage to larger data. The Harmonic Mean in mathematical terms is nothing but the reciprocal of the mean of reciprocal values of all the data eleme

How to Calculate Standard Deviation in Excel: Quick Guide

How to Find Standard Deviation in ExcelOpen MS Excel Spreadsheet >> Enter your Data Select the Cell >>Enter the Formula For a sample: =STDEV.S(range)For a population: =STDEV.P(range)Press Enter >>Verify your Result Calculating the standard deviation in Excel is a crucial step in da

Standard Deviation - Formula, Examples & How to Calculate

Standard deviation is a statistical measure that describes how much variation or dispersion there is in a set of data points. It helps us understand how spread out the values in a dataset are compared to the mean (average). A higher standard deviation means the data points are more spread out, while

How to Find Standard Deviation in R?

In this article, we will discuss how to find the Standard Deviation in R Programming Language. Standard deviation R is the measure of the dispersion of the values. It can also be defined as the square root of variance. Formula of sample standard deviation: [Tex]s = \sqrt{\frac{1}{N-1}\displaystyle\s

How to Calculate Mean using Step Deviation Method?

Step Deviation Method is a simplified way to calculate the mean of a grouped frequency distribution, especially when the class intervals are uniform. In simple words, statistics implies the process of gathering, sorting, examining, interpreting and then understandably presenting the data to enable o

How to Calculate the Standard Error of the Mean in R?

In this article, we will discuss how to calculate the standard error of the mean in the R programming language. StandardError Of Mean is the standard deviation divided by the square root of the sample size. Formula: Standard Error: (Sample Standard Deviation of Sample)/(Square Root of the sample siz

How to Calculate Sampling Distributions in R

A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statisti