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Mean of Data given Variance Formula

GoMean of Data given Median and Mode Formula

GoMean of Data given Standard Deviation Formula

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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?σ² - Variance of Data?

Mean of Data given Variance Example

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

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

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

75 = \sqrt{(\frac{62500}{10}) - 625}

75 = \sqrt{(\frac{62500}{10}) - 625}

75 = \sqrt{(\frac{62500}{10}) - 625}

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Mean of Data given Variance Solution

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

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}) - 625}

Next Step Prepare to Evaluate

∴

Mean = \sqrt{(\frac{62500}{10}) - 625}

LAST Step Evaluate

∴

Mean = 75

Mean of Data given Variance 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

Variance of Data

Variance of Data is the average of the squared differences between each data point and the mean of the dataset. It quantifies the overall variability or spread of the data points around the mean.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance 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 Standard Deviation

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

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 Variance?

Mean of Data given Variance evaluator uses Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-Variance of Data) to evaluate the Mean of Data, Mean of Data given Variance 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 variance of the data. Mean of Data is denoted by Mean symbol.

How to evaluate Mean of Data given Variance using this online evaluator? To use this online evaluator for Mean of Data given Variance, enter Sum of Squares of Individual Values (Σx²), Number of Individual Values (N_Values) & Variance of Data (σ²) and hit the calculate button.

FAQs on Mean of Data given Variance

What is the formula to find Mean of Data given Variance?

The formula of Mean of Data given Variance is expressed as Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-Variance of Data). Here is an example- 78.96835 = sqrt((62500/10)-625).

How to calculate Mean of Data given Variance?

With Sum of Squares of Individual Values (Σx²), Number of Individual Values (N_Values) & Variance of Data (σ²) we can find Mean of Data given Variance using the formula - Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-Variance of Data). 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=sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2))
Mean of Data=Standard Deviation of Data/Coefficient of Variation

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: Unit

Mean of Data given Variance Formula

​GoMean of Data given Median and Mode Formula

​GoMean of Data given Standard Deviation Formula

Mean of Data given Variance Example

Mean of Data given Variance Solution

Mean of Data given Variance Formula Elements

Other Formulas to find Mean of Data

Other formulas in Mean category

How to Evaluate Mean of Data given Variance?

FAQs on Mean of Data given Variance

Variable Name

GoMean of Data given Median and Mode Formula

GoMean of Data given Standard Deviation Formula