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Combined Mean of Multiple Data Formula

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Combined Mean of Multiple Data is the average of values obtained by combining data from different sources or groups. It represents the overall mean when data is pooled from various populations. Check FAQs

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

μ_Combined - Combined Mean of Multiple Data?N_X - Sample Size of Random Variable X?μ_X - Mean of Random Variable X?N_Y - Sample Size of Random Variable Y?μ_Y - Mean of Random Variable Y?

Combined Mean of Multiple Data Example

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With units

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Here is how the Combined Mean of Multiple Data equation looks like with Values.

Here is how the Combined Mean of Multiple Data equation looks like with Units.

Here is how the Combined Mean of Multiple Data equation looks like.

44 = \frac{(40 \cdot 36) + (80 \cdot 48)}{40 + 80}

44 = \frac{(40 \cdot 36) + (80 \cdot 48)}{40 + 80}

44 = \frac{(40 \cdot 36) + (80 \cdot 48)}{40 + 80}

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Combined Mean of Multiple Data Solution

Follow our step by step solution on how to calculate Combined Mean of Multiple Data?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ Combined = \frac{(40 \cdot 36) + (80 \cdot 48)}{40 + 80}

Next Step Prepare to Evaluate

∴

μ Combined = \frac{(40 \cdot 36) + (80 \cdot 48)}{40 + 80}

LAST Step Evaluate

∴

μ Combined = 44

Combined Mean of Multiple Data Formula Elements

Variables

Combined Mean of Multiple Data

Combined Mean of Multiple Data is the average of values obtained by combining data from different sources or groups. It represents the overall mean when data is pooled from various populations.

Symbol: μ_Combined

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Combined Mean of Multiple Data

Sample Size of Random Variable X

Sample Size of Random Variable X is the number of observations or data points in the sample corresponding to random variable X.

Symbol: N_X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size of Random Variable X

Mean of Random Variable X

Mean of Random Variable X is the average value or expected value of the random variable X.

Symbol: μ_X

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Random Variable X

Sample Size of Random Variable Y

Sample Size of Random Variable Y is the number of observations or data points in the sample corresponding to random variable Y.

Symbol: N_Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size of Random Variable Y

Mean of Random Variable Y

Mean of Random Variable Y is the average value or expected value of the random variable Y.

Symbol: μ_Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Random Variable Y

Other formulas in Mean category

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

How to Evaluate Combined Mean of Multiple Data?

Combined Mean of Multiple Data evaluator uses Combined Mean of Multiple Data = ((Sample Size of Random Variable X*Mean of Random Variable X)+(Sample Size of Random Variable Y*Mean of Random Variable Y))/(Sample Size of Random Variable X+Sample Size of Random Variable Y) to evaluate the Combined Mean of Multiple Data, Combined Mean of Multiple Data formula is defined as the average of values obtained by combining data from different sources or groups. It represents the overall mean when data is pooled from various populations. Combined Mean of Multiple Data is denoted by μ_Combined symbol.

How to evaluate Combined Mean of Multiple Data using this online evaluator? To use this online evaluator for Combined Mean of Multiple Data, enter Sample Size of Random Variable X (N_X), Mean of Random Variable X (μ_X), Sample Size of Random Variable Y (N_Y) & Mean of Random Variable Y (μ_Y) and hit the calculate button.

FAQs on Combined Mean of Multiple Data

What is the formula to find Combined Mean of Multiple Data?

The formula of Combined Mean of Multiple Data is expressed as Combined Mean of Multiple Data = ((Sample Size of Random Variable X*Mean of Random Variable X)+(Sample Size of Random Variable Y*Mean of Random Variable Y))/(Sample Size of Random Variable X+Sample Size of Random Variable Y). Here is an example- 39.27273 = ((40*36)+(80*48))/(40+80).

How to calculate Combined Mean of Multiple Data?

With Sample Size of Random Variable X (N_X), Mean of Random Variable X (μ_X), Sample Size of Random Variable Y (N_Y) & Mean of Random Variable Y (μ_Y) we can find Combined Mean of Multiple Data using the formula - Combined Mean of Multiple Data = ((Sample Size of Random Variable X*Mean of Random Variable X)+(Sample Size of Random Variable Y*Mean of Random Variable Y))/(Sample Size of Random Variable X+Sample Size of Random Variable Y).

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Combined Mean of Multiple Data Formula

Combined Mean of Multiple Data Example

Combined Mean of Multiple Data Solution

Combined Mean of Multiple Data Formula Elements

Other formulas in Mean category

How to Evaluate Combined Mean of Multiple Data?

FAQs on Combined Mean of Multiple Data

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