FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Mean of Data given Standard Deviation Formula

GoMean of Data given Median and Mode Formula

GoMean of Data given Coefficient of Variation Formula

Fx Copy

LaTeX Copy

Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data. Check FAQs

Mean = \sqrt{(\frac{Σx 2}{N Values}) - (σ^{2})}

Mean - Mean of Data?Σx² - Sum of Squares of Individual Values?N_Values - Number of Individual Values?σ - Standard Deviation of Data?

Mean of Data given Standard Deviation Example

With values

With units

Only example

Here is how the Mean of Data given Standard Deviation equation looks like with Values.

Here is how the Mean of Data given Standard Deviation equation looks like with Units.

Here is how the Mean of Data given Standard Deviation equation looks like.

75 = \sqrt{(\frac{62500}{10}) - (25^{2})}

75 = \sqrt{(\frac{62500}{10}) - (25^{2})}

75 = \sqrt{(\frac{62500}{10}) - (25^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Statistics » Category

Measures of Central Tendency » fx Mean of Data given Standard Deviation

Mean of Data given Standard Deviation Solution

Follow our step by step solution on how to calculate Mean of Data given Standard Deviation?

FIRST Step Consider the formula

Mean = \sqrt{(\frac{Σx 2}{N Values}) - (σ^{2})}

Next Step Substitute values of Variables

∴

Mean = \sqrt{(\frac{62500}{10}) - (25^{2})}

Next Step Prepare to Evaluate

∴

Mean = \sqrt{(\frac{62500}{10}) - (25^{2})}

LAST Step Evaluate

∴

Mean = 75

Mean of Data given Standard Deviation Formula Elements

Variables

Functions

Mean of Data

Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.

Symbol: Mean

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Data

Sum of Squares of Individual Values

Sum of Squares of Individual Values is the sum of the squared differences between each data point and the mean of the dataset.

Symbol: Σx²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sum of Squares of Individual Values

Number of Individual Values

Number of Individual Values is the total count of distinct data points in a dataset.

Symbol: N_Values

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Individual Values

Standard Deviation of Data

Standard Deviation of Data is the measure of how much the values in a dataset vary. It quantifies the dispersion of data points around the mean.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of Data

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Mean of Data

Go Mean of Data given Median and Mode

Mean = \frac{(3 \cdot Median) - Mode}{2}

Go Mean of Data given Coefficient of Variation

Mean = \frac{σ}{CV}

Go Mean of Data given Coefficient of Variation Percentage

Mean = (\frac{σ}{CV %}) \cdot 100

Go Mean of Data

Mean = \frac{Σx}{N Values}

Other formulas in Mean category

Go Combined Mean of Multiple Data

μ Combined = \frac{(N X \cdot μ X) + (N Y \cdot μ Y)}{N X + N Y}

How to Evaluate Mean of Data given Standard Deviation?

Mean of Data given Standard Deviation evaluator uses Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2)) to evaluate the Mean of Data, Mean of Data given Standard Deviation formula is defined as the average value of all the data points in a dataset. It represents the central tendency of the data, and calculated using the standard deviation of the data. Mean of Data is denoted by Mean symbol.

How to evaluate Mean of Data given Standard Deviation using this online evaluator? To use this online evaluator for Mean of Data given Standard Deviation, enter Sum of Squares of Individual Values (Σx²), Number of Individual Values (N_Values) & Standard Deviation of Data (σ) and hit the calculate button.

FAQs on Mean of Data given Standard Deviation

What is the formula to find Mean of Data given Standard Deviation?

The formula of Mean of Data given Standard Deviation is expressed as Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2)). Here is an example- 78.95568 = sqrt((62500/10)-(25^2)).

How to calculate Mean of Data given Standard Deviation?

With Sum of Squares of Individual Values (Σx²), Number of Individual Values (N_Values) & Standard Deviation of Data (σ) we can find Mean of Data given Standard Deviation using the formula - Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mean of Data?

Here are the different ways to Calculate Mean of Data-

Mean of Data=((3*Median of Data)-Mode of Data)/2
Mean of Data=Standard Deviation of Data/Coefficient of Variation
Mean of Data=(Standard Deviation of Data/Coefficient of Variation Percentage)*100

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Mean of Data given Standard Deviation Formula

​GoMean of Data given Median and Mode Formula

​GoMean of Data given Coefficient of Variation Formula

Mean of Data given Standard Deviation Example

Mean of Data given Standard Deviation Solution

Mean of Data given Standard Deviation Formula Elements

Other Formulas to find Mean of Data

Other formulas in Mean category

How to Evaluate Mean of Data given Standard Deviation?

FAQs on Mean of Data given Standard Deviation

Variable Name

GoMean of Data given Median and Mode Formula

GoMean of Data given Coefficient of Variation Formula