Combined Mean of Multiple Data Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
μCombined = ((NX*μX)+(NY*μY))/(NX+NY)
This formula uses 5 Variables
Variables Used
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.
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.
Mean of Random Variable X - Mean of Random Variable X is the average value or expected value of the 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.
Mean of Random Variable Y - Mean of Random Variable Y is the average value or expected value of the random variable Y.
STEP 1: Convert Input(s) to Base Unit
Sample Size of Random Variable X: 40 --> No Conversion Required
Mean of Random Variable X: 36 --> No Conversion Required
Sample Size of Random Variable Y: 80 --> No Conversion Required
Mean of Random Variable Y: 48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μCombined = ((NXX)+(NYY))/(NX+NY) --> ((40*36)+(80*48))/(40+80)
Evaluating ... ...
μCombined = 44
STEP 3: Convert Result to Output's Unit
44 --> No Conversion Required
FINAL ANSWER
44 <-- Combined Mean of Multiple Data
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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St Joseph's College (SJC), Bengaluru
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Combined Mean of Multiple Data Formula

​LaTeX ​Go
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)
μCombined = ((NX*μX)+(NY*μY))/(NX+NY)

What is Mean and it's importance?

In Statistics, the most commonly used measure of central tendency is the Mean. The word 'mean' is the statistical term used for the 'average'. The mean can be used to represent the typical value and therefore serves as a yardstick for all observations. For example, if we would like to know how many hours on average an employee spends at training in a year, we can find the mean training hours of a group of employees. One of the main importance of the mean from the other measures of central tendencies is that, mean takes into consideration all the elements in the given data. It calculates the average value of the set of data. It cannot be an accurate measurement for skewed distribution. If the mean is equal to the median, then the distribution is normal.

How to Calculate Combined Mean of Multiple Data?

Combined Mean of Multiple Data calculator 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 calculate 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 μCombined symbol.

How to calculate Combined Mean of Multiple Data using this online calculator? To use this online calculator for Combined Mean of Multiple Data, enter Sample Size of Random Variable X (NX), Mean of Random Variable X X), Sample Size of Random Variable Y (NY) & Mean of Random Variable Y Y) and hit the calculate button. Here is how the Combined Mean of Multiple Data calculation can be explained with given input values -> 39.27273 = ((40*36)+(80*48))/(40+80).

FAQ

What is 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 and is represented as μCombined = ((NXX)+(NYY))/(NX+NY) or 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). Sample Size of Random Variable X is the number of observations or data points in the sample corresponding to random variable X, Mean of Random Variable X is the average value or expected value of the random variable X, Sample Size of Random Variable Y is the number of observations or data points in the sample corresponding to random variable Y & Mean of Random Variable Y is the average value or expected value of the random variable Y.
How to calculate 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 is calculated using 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 calculate Combined Mean of Multiple Data, you need Sample Size of Random Variable X (NX), Mean of Random Variable X X), Sample Size of Random Variable Y (NY) & Mean of Random Variable Y Y). With our tool, you need to enter the respective value for Sample Size of Random Variable X, Mean of Random Variable X, Sample Size of Random Variable Y & Mean of Random Variable Y and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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