Mean of Data given Median and Mode Calculator

✖Median of Data is the middle value of a dataset when it is sorted in ascending or descending order. It separates the higher half from the lower half of the data.ⓘ Median of Data [Median]			+10% -10%
✖Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.ⓘ Mode of Data [Mode]			+10% -10%

✖Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.ⓘ Mean of Data given Median and Mode [Mean]

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Formula

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Mean of Data given Median and Mode

Formula

`"Mean" = ((3*"Median")-"Mode")/2`

Example

`"75"=((3*"70")-"60")/2`

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Download Measures of Central Tendency Formulas PDF

Mean of Data given Median and Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean of Data = ((3*Median of Data)-Mode of Data)/2
Mean = ((3*Median)-Mode)/2
This formula uses 3 Variables

Variables Used

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.
Median of Data - Median of Data is the middle value of a dataset when it is sorted in ascending or descending order. It separates the higher half from the lower half of the data.
Mode of Data - Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.

STEP 1: Convert Input(s) to Base Unit

Median of Data: 70 --> No Conversion Required
Mode of Data: 60 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mean = ((3*Median)-Mode)/2 --> ((3*70)-60)/2

Evaluating ... ...

Mean = 75

STEP 3: Convert Result to Output's Unit

75 --> No Conversion Required

FINAL ANSWER

75 <-- Mean of Data

(Calculation completed in 00.004 seconds)

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< 7 Mean Calculators

Combined Mean of Multiple Data

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)

Mean of Data given Standard Deviation

Go Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2))

Mean of Data given Variance

Go Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-Variance of Data)

Mean of Data given Coefficient of Variation Percentage

Go Mean of Data = (Standard Deviation of Data/Coefficient of Variation Percentage)*100

Mean of Data

Go Mean of Data = Sum of Individual Values/Number of Individual Values

Mean of Data given Coefficient of Variation

Go Mean of Data = Standard Deviation of Data/Coefficient of Variation

Mean of Data given Median and Mode

Go Mean of Data = ((3*Median of Data)-Mode of Data)/2

Mean of Data given Median and Mode Formula

Mean of Data = ((3*Median of Data)-Mode of Data)/2
Mean = ((3*Median)-Mode)/2

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 Mean of Data given Median and Mode?

Mean of Data given Median and Mode calculator uses Mean of Data = ((3*Median of Data)-Mode of Data)/2 to calculate the Mean of Data, Mean of Data given Median and Mode 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 median and mode of the data. Mean of Data is denoted by Mean symbol.

How to calculate Mean of Data given Median and Mode using this online calculator? To use this online calculator for Mean of Data given Median and Mode, enter Median of Data (Median) & Mode of Data (Mode) and hit the calculate button. Here is how the Mean of Data given Median and Mode calculation can be explained with given input values -> 100.5 = ((3*70)-60)/2.

FAQ

What is Mean of Data given Median and Mode?

Mean of Data given Median and Mode 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 median and mode of the data and is represented as Mean = ((3*Median)-Mode)/2 or Mean of Data = ((3*Median of Data)-Mode of Data)/2. Median of Data is the middle value of a dataset when it is sorted in ascending or descending order. It separates the higher half from the lower half of the data & Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.

How to calculate Mean of Data given Median and Mode?

Mean of Data given Median and Mode 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 median and mode of the data is calculated using Mean of Data = ((3*Median of Data)-Mode of Data)/2. To calculate Mean of Data given Median and Mode, you need Median of Data (Median) & Mode of Data (Mode). With our tool, you need to enter the respective value for Median of Data & Mode of Data and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mean of Data?

In this formula, Mean of Data uses Median of Data & Mode of Data. We can use 5 other way(s) to calculate the same, which is/are as follows -

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
Mean of Data = (Standard Deviation of Data/Coefficient of Variation Percentage)*100
Mean of Data = Sum of Individual Values/Number of Individual Values
Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-Variance of Data)

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