FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Standard Error of Mean of Weighted Observations Formula

Fx Copy

LaTeX Copy

Standard error of mean limits the error bound within which the true value of the mean lies. Check FAQs

σ nw = \frac{σ w}{\sqrt{ƩW}}

σ_nw - Standard Error of Mean?σ_w - Weighted Standard Deviation?ƩW - Sum of Weightage?

Standard Error of Mean of Weighted Observations Example

With values

With units

Only example

Here is how the Standard Error of Mean of Weighted Observations equation looks like with Values.

Here is how the Standard Error of Mean of Weighted Observations equation looks like with Units.

Here is how the Standard Error of Mean of Weighted Observations equation looks like.

100.1388 = \frac{950}{\sqrt{90}}

100.1388 = \frac{950}{\sqrt{90}}

100.1388 = \frac{950}{\sqrt{90}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Standard Error of Mean of Weighted Observations

Standard Error of Mean of Weighted Observations Solution

Follow our step by step solution on how to calculate Standard Error of Mean of Weighted Observations?

FIRST Step Consider the formula

σ nw = \frac{σ w}{\sqrt{ƩW}}

Next Step Substitute values of Variables

∴

σ nw = \frac{950}{\sqrt{90}}

Next Step Prepare to Evaluate

∴

σ nw = \frac{950}{\sqrt{90}}

Next Step Evaluate

∴

σ nw = 100.138792571999

LAST Step Rounding Answer

∴

σ nw = 100.1388

Standard Error of Mean of Weighted Observations Formula Elements

Variables

Functions

Standard Error of Mean

Standard error of mean limits the error bound within which the true value of the mean lies.

Symbol: σ_nw

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Error of Mean

Weighted Standard Deviation

Weighted standard deviation is the standard deviation found when the observations taken are having different weightages.

Symbol: σ_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Weighted Standard Deviation

Sum of Weightage

Sum of weightage is the addition of weightage of each observed value if the weight is different for each values.

Symbol: ƩW

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Weightage

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Theory of Errors category

Go Probable Error of Mean

PE m = \frac{PE s}{{n obs}^{0.5}}

Go Mean Error given Sum of Errors

E m = \frac{ΣE}{n obs}

Go Mean Error given Specified Error of Single Measurement

E m = \frac{E s}{\sqrt{n obs}}

Go True Error

ε x = X - x

How to Evaluate Standard Error of Mean of Weighted Observations?

Standard Error of Mean of Weighted Observations evaluator uses Standard Error of Mean = Weighted Standard Deviation/sqrt(Sum of Weightage) to evaluate the Standard Error of Mean, The Standard Error of Mean of Weighted Observations is the standard deviation of the mean values of weighted observed values. It limits the error bound within which the true value of the mean lies. Standard Error of Mean is denoted by σ_nw symbol.

How to evaluate Standard Error of Mean of Weighted Observations using this online evaluator? To use this online evaluator for Standard Error of Mean of Weighted Observations, enter Weighted Standard Deviation (σ_w) & Sum of Weightage (ƩW) and hit the calculate button.

FAQs on Standard Error of Mean of Weighted Observations

What is the formula to find Standard Error of Mean of Weighted Observations?

The formula of Standard Error of Mean of Weighted Observations is expressed as Standard Error of Mean = Weighted Standard Deviation/sqrt(Sum of Weightage). Here is an example- 100.1388 = 950/sqrt(90).

How to calculate Standard Error of Mean of Weighted Observations?

With Weighted Standard Deviation (σ_w) & Sum of Weightage (ƩW) we can find Standard Error of Mean of Weighted Observations using the formula - Standard Error of Mean = Weighted Standard Deviation/sqrt(Sum of Weightage). This formula also uses Square Root (sqrt) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Standard Error of Mean of Weighted Observations Formula

Standard Error of Mean of Weighted Observations Example

Standard Error of Mean of Weighted Observations Solution

Standard Error of Mean of Weighted Observations Formula Elements

Other formulas in Theory of Errors category

How to Evaluate Standard Error of Mean of Weighted Observations?

FAQs on Standard Error of Mean of Weighted Observations

Variable Name