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RSD Calculator

RSD Calculator

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Mean:

Standard Deviation:

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Make use of this free RSD calculator online that is specifically designed to calculate relative deviation of a data set. The RSD value is taken into consideration with the mean position and that is why it is considered a special kind of data dispersion about the mean.

So let’s move on towards the calculations of the term that is our today’s topic of discussion.

Stay focused!

What Is Relative Standard Deviation?

In statistical galaxy:

“The authentic value of the variation coefficient is termed the relative standard deviation”

RSD Calculation Formula:

Now there are a couple of possibilities. These include calculations based on:

  • Data set provided
  • Standard deviation and mean provided

The free percent RSD calculator online makes use of both methods to calculate the relative abundance of the data set around the mean position.

Moving towards the formula of the relative standard deviation:

$$ % RSD = \frac{σ}{\bar{x}} * 100 $$

where :

s = Standard Deviation
\(\bar{x}\) = Mean of Data set

How To Calculate Relative Standard Deviation?

Let’s resolve a related example to clarify the concept of you people. Keep going through it!

Example # 01:

How to find relative standard deviation of a data set having standard deviation as 45 and mean as 3.7?

Solution:

$$ \text{Percent Relative Standard Deviation} = \frac{σ}{\bar{x}} $$

$$ \text{Percent Relative Standard Deviation} = \frac{45}{3.7} $$

$$ \text{Percent Relative Standard Deviation} = 12.162 $$

How RSD Calculator Online Works?

This relative standard deviation calculator will provide you with an autopsy of the data set given. Let’s have a look at its operation!

Input:

  • At the top, make your selection whether you want to make calculations on the basis of data set or summary data
  • After you make your selection, writhe the required parameters or numbers in their designated fields
  • At last, hit the calculate button

Output:
The free relative average deviation calculator does the following calculations:

  • Minimum and maximum number in the data set
  • Number Count
  • Sum of data
  • Mean,median, mode, and range of the data set
  • Sample Standard Deviation
  • Sample Variance
  • Population Standard Deviation
  • Population Variance

Here if you also want to calculate the variance of the dataset along with proper calculations, you can use our another variance calculator.

FAQ’s:

What is the difference between standard deviation and relative standard deviation?

Standard deviation is the dispersion of data about the mean. Whereas on the other hand, relative dispersion is its special type that contains only two decimal places. Also, where standard deviation is positive and negative, the relative form of it can only be positive. For instance, you can verify the condition by using our free relative deviation calculator ppt.

What does relative standard deviation tell you?

The relative standard deviation allows us to estimate how accurate the average of the set is. And when it comes to computations of this parameter, this free RSD calculator is the most efficient method considered so far.

What is a good RSD value?

In statistics, a good RSD value is about 2%.

Why is coefficient of variation better than standard deviation?

CV is considered a relatively better estimation than that of the sample standard deviation. This is because SD increases with the concentration of the data values. While on the other hand, RSD provides maximum precision even if you are not having concentrated data.

Why do we need coefficient of variation?

The coefficient of variation is a financial term that allows investors to assess how much volatility, or risk, is assumed in relation to the projected return on investments. The better the risk-return trade-off, the lower the standard deviation to mean return ratio. And to better understand the concept in more detail, you can subject to the free coefficient of variation calculator

.

Conclusion:

Relative standard deviation has vast applications in the field of statistics. Students and professors make vast use of it to analyse the score charts of various statistical test scores. And for maximum accuracy,

References:

From the source of Wikipedia: Coefficient of variation, Estimation, Comparison to standard deviation, Applications, Distribution, Similar ratios

From the source Khan Academy: Calculating standard deviation, Alternate variance, Variance of a population

From the source of Libretexts.org: Measures of the Spread of Data, Sampling Variability of a Statistic, Data Sets