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Linear Transformation of Variance Solution

STEP 0: Pre-Calculation Summary
Formula Used
variance_of_y = Proportionality constant^2*Variance of X
V(Y) = m^2*V(X)
This formula uses 2 Variables
Variables Used
Proportionality constant- Proportionality constant, m is a constant whose value varies from 0 to n.
Variance of X- Variance of X is equal to the mean of the square of X minus the square of the mean of X.
STEP 1: Convert Input(s) to Base Unit
Proportionality constant: 1 --> No Conversion Required
Variance of X: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V(Y) = m^2*V(X) --> 1^2*5
Evaluating ... ...
V(Y) = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
FINAL ANSWER
5 <-- Variance of Y
(Calculation completed in 00.000 seconds)

10+ Mean, Median and Mode Calculators

Mode of frequency
mode_of_data = Largest item+((Maximum frequency-Frequency preceding modal class)/((2*Maximum frequency)-Frequency following modal class-Frequency preceding modal class))*Size of modal class Go
Mode given mean and median
mode_of_data = Mean of data-3*(Mean of data-Median of data) Go
Mean using Z score
mean_of_data = Value of A-Z Score*Standard Deviation Go
Population mean
mean_of_data = Sum of observation/Number of elements in population Go
Sample mean
mean_of_data = Sum of observation/Number of items in sample Go
Mean using coefficient of variation
mean_of_data = Standard Deviation/Coefficient of variation Go
Median given mean and mode
median_of_data = (2*Mean of data-Mode of data)/3 Go
Median of data
median_of_data = (2*Mean of data+Mode of data)/3 Go
Mean of data
mean_of_data = (3*Median of data-Mode of data)/2 Go
Mode of data
mode_of_data = 3*Median of data-3*Mean of data Go

Linear Transformation of Variance Formula

variance_of_y = Proportionality constant^2*Variance of X
V(Y) = m^2*V(X)

What is linear transformation?

A linear transformation is defined as a variation to a variable characterized by one or more of the subsequent procedures: adding a constant to the variable, subtracting a constant from the variable, multiplying the variable by a constant, and/or dividing the variable by a constant.

How to Calculate Linear Transformation of Variance?

Linear Transformation of Variance calculator uses variance_of_y = Proportionality constant^2*Variance of X to calculate the Variance of Y, The Linear Transformation of Variance formula is defined as the variation in the variance value of random variables Y and X preserves the operations of scalar multiple m. Variance of Y is denoted by V(Y) symbol.

How to calculate Linear Transformation of Variance using this online calculator? To use this online calculator for Linear Transformation of Variance, enter Proportionality constant (m) & Variance of X (V(X)) and hit the calculate button. Here is how the Linear Transformation of Variance calculation can be explained with given input values -> 5 = 1^2*5.

FAQ

What is Linear Transformation of Variance?
The Linear Transformation of Variance formula is defined as the variation in the variance value of random variables Y and X preserves the operations of scalar multiple m and is represented as V(Y) = m^2*V(X) or variance_of_y = Proportionality constant^2*Variance of X. Proportionality constant, m is a constant whose value varies from 0 to n & Variance of X is equal to the mean of the square of X minus the square of the mean of X.
How to calculate Linear Transformation of Variance?
The Linear Transformation of Variance formula is defined as the variation in the variance value of random variables Y and X preserves the operations of scalar multiple m is calculated using variance_of_y = Proportionality constant^2*Variance of X. To calculate Linear Transformation of Variance, you need Proportionality constant (m) & Variance of X (V(X)). With our tool, you need to enter the respective value for Proportionality constant & Variance of X 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 Variance of Y?
In this formula, Variance of Y uses Proportionality constant & Variance of X. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • mean_of_data = (3*Median of data-Mode of data)/2
  • median_of_data = (2*Mean of data+Mode of data)/3
  • mode_of_data = 3*Median of data-3*Mean of data
  • mean_of_data = Value of A-Z Score*Standard Deviation
  • mean_of_data = Standard Deviation/Coefficient of variation
  • mode_of_data = Mean of data-3*(Mean of data-Median of data)
  • median_of_data = (2*Mean of data-Mode of data)/3
  • mode_of_data = Largest item+((Maximum frequency-Frequency preceding modal class)/((2*Maximum frequency)-Frequency following modal class-Frequency preceding modal class))*Size of modal class
  • mean_of_data = Sum of observation/Number of elements in population
  • mean_of_data = Sum of observation/Number of items in sample
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