
What are the advantages and disadvantages of standard deviation?
Answer
420k+ views
Hint : To discuss the advantages and disadvantages of standard deviation, first, we need to know what is standard deviation.
Standard deviation helps us to determine the dispersion from the given mean.
Dispersion means it is the value by which an object differs from another object, in this type of particular case it is also known as the arithmetic mean.
Standard deviation denotes the typical deviation from the given mean.
Mean is the average from the given, or also known as the sum of the numbers divides the total number in the given.
Complete step-by-step solution:
Advantages: the standard deviation advantages are
In standard deviation the given values are always fixed and also the rigidification (extracting way) is well defined.
In standard deviation, mathematical operations like addition, subtraction, multiplication, division, and statistical analysis, both are possible with the use of standard deviation.
It shows exactly how much of the given data are clustered around the given mean.
Disadvantages: the standard deviation disadvantages are
It will affect the extreme values in the standard deviation.
The open-end frequency distribution is calculated using the standard deviation.
The standard deviation does not give the full range of the given data.
It was hard to calculate.
The formula of the standard deviation is , where is denoted as the sigma, indicates the mean of the given values, n is the total number of values from the given.
Note:Steps to calculate the standard deviation
By adding the given all data points and dividing them by the number of given data points, we can obtain the mean.
By subtraction of the given values from the data of the mean, you can get the variance for each of the points. Next, we need to square the obtained values and sum the required results.
After that, we need to divide the results obtained by the number of data points.
Finally, take the square root of the variance from the above step. And the resulting value is the standard deviation.
Standard deviation helps us to determine the dispersion from the given mean.
Dispersion means it is the value by which an object differs from another object, in this type of particular case it is also known as the arithmetic mean.
Standard deviation denotes the typical deviation from the given mean.
Mean is the average from the given, or also known as the sum of the numbers divides the total number in the given.
Complete step-by-step solution:
Advantages: the standard deviation advantages are
In standard deviation the given values are always fixed and also the rigidification (extracting way) is well defined.
In standard deviation, mathematical operations like addition, subtraction, multiplication, division, and statistical analysis, both are possible with the use of standard deviation.
It shows exactly how much of the given data are clustered around the given mean.
Disadvantages: the standard deviation disadvantages are
It will affect the extreme values in the standard deviation.
The open-end frequency distribution is calculated using the standard deviation.
The standard deviation does not give the full range of the given data.
It was hard to calculate.
The formula of the standard deviation is
Note:Steps to calculate the standard deviation
By adding the given all data points and dividing them by the number of given data points, we can obtain the mean.
By subtraction of the given values from the data of the mean, you can get the variance for each of the points. Next, we need to square the obtained values and sum the required results.
After that, we need to divide the results obtained by the number of data points.
Finally, take the square root of the variance from the above step. And the resulting value is the standard deviation.
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
State and prove Bernoullis theorem class 11 physics CBSE

What are Quantum numbers Explain the quantum number class 11 chemistry CBSE

Who built the Grand Trunk Road AChandragupta Maurya class 11 social science CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE
