Variance of Observations Calculator

✖Sum of square of residual variation is the value obtained by adding the squared value of residual variation.ⓘ Sum of Square of Residual Variation [ƩV²]			+10% -10%
✖Number of Observations refers to the number of observations taken in the given data collection.ⓘ Number of Observations [n_obs]			+10% -10%

✖The Variance is defined as the average of the squared differences from the Mean.ⓘ Variance of Observations [σ²]

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Variance of Observations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance = Sum of Square of Residual Variation/(Number of Observations-1)
σ² = ƩV²/(n_obs-1)
This formula uses 3 Variables

Variables Used

Variance - The Variance is defined as the average of the squared differences from the Mean.
Sum of Square of Residual Variation - Sum of square of residual variation is the value obtained by adding the squared value of residual variation.
Number of Observations - Number of Observations refers to the number of observations taken in the given data collection.

STEP 1: Convert Input(s) to Base Unit

Sum of Square of Residual Variation: 5000 --> No Conversion Required
Number of Observations: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ² = ƩV²/(n_obs-1) --> 5000/(4-1)

Evaluating ... ...

σ² = 1666.66666666667

STEP 3: Convert Result to Output's Unit

1666.66666666667 --> No Conversion Required

FINAL ANSWER

1666.66666666667 ≈ 1666.667 <-- Variance

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Theory of Errors Calculators

Mean Error given Specified Error of Single Measurement

LaTeX Go Error of Mean = Specified Error of a Single Measurement/(sqrt(Number of Observations))

Probable Error of Mean

LaTeX Go Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)

Mean Error given Sum of Errors

LaTeX Go Error of Mean = Sum of Errors of Observations/Number of Observations

True Error

LaTeX Go True Error = True Value-Observed Value

Variance of Observations Formula

LaTeX Go

Variance = Sum of Square of Residual Variation/(Number of Observations-1)
σ² = ƩV²/(n_obs-1)

What is a Common Error in Leveling?

A Common Error in Leveling is the error of collimation, which occurs when the line of sight of the telescope is not perfectly horizontal.

How to Calculate Variance of Observations?

Variance of Observations calculator uses Variance = Sum of Square of Residual Variation/(Number of Observations-1) to calculate the Variance, Variance of Observations is used to measure the dispersion or spread of observed values around the mean value. it is square of standard deviation. Variance is denoted by σ² symbol.

How to calculate Variance of Observations using this online calculator? To use this online calculator for Variance of Observations, enter Sum of Square of Residual Variation (ƩV²) & Number of Observations (n_obs) and hit the calculate button. Here is how the Variance of Observations calculation can be explained with given input values -> 1666.667 = 5000/(4-1).

FAQ

What is Variance of Observations?

Variance of Observations is used to measure the dispersion or spread of observed values around the mean value. it is square of standard deviation and is represented as σ² = ƩV²/(n_obs-1) or Variance = Sum of Square of Residual Variation/(Number of Observations-1). Sum of square of residual variation is the value obtained by adding the squared value of residual variation & Number of Observations refers to the number of observations taken in the given data collection.

How to calculate Variance of Observations?

Variance of Observations is used to measure the dispersion or spread of observed values around the mean value. it is square of standard deviation is calculated using Variance = Sum of Square of Residual Variation/(Number of Observations-1). To calculate Variance of Observations, you need Sum of Square of Residual Variation (ƩV²) & Number of Observations (n_obs). With our tool, you need to enter the respective value for Sum of Square of Residual Variation & Number of Observations 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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