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Population at Mid Year for Geometric Increase Method Formula

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The Population at Mid Year Census refers to the population at the mid year census date. Check FAQs

P M = \exp (\log 10 (P E) + K G \cdot (T M - T E))

P_M - Population at Mid Year Census?P_E - Population at Earlier Census?K_G - Proportionality Factor?T_M - Mid-Year Census Date?T_E - Earlier Census Date?

Population at Mid Year for Geometric Increase Method Example

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Here is how the Population at Mid Year for Geometric Increase Method equation looks like with Values.

Here is how the Population at Mid Year for Geometric Increase Method equation looks like with Units.

Here is how the Population at Mid Year for Geometric Increase Method equation looks like.

5.0149 = \exp (\log 10 (22) + 0.03 \cdot (29 - 20))

5.0149 = \exp (\log 10 (22) + 0.03 \cdot (29 - 20))

5.0149 = \exp (\log 10 (22) + 0.03 \cdot (29 - 20))

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Population at Mid Year for Geometric Increase Method Solution

Follow our step by step solution on how to calculate Population at Mid Year for Geometric Increase Method?

FIRST Step Consider the formula

P M = \exp (\log 10 (P E) + K G \cdot (T M - T E))

Next Step Substitute values of Variables

∴

P M = \exp (\log 10 (22) + 0.03 \cdot (29 - 20))

Next Step Prepare to Evaluate

∴

P M = \exp (\log 10 (22) + 0.03 \cdot (29 - 20))

Next Step Evaluate

∴

P M = 5.01494613622193

LAST Step Rounding Answer

∴

P M = 5.0149

Population at Mid Year for Geometric Increase Method Formula Elements

Variables

Functions

Population at Mid Year Census

The Population at Mid Year Census refers to the population at the mid year census date.

Symbol: P_M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population at Mid Year Census

Population at Earlier Census

The Population at Earlier Census refers to the population at the earlier census date.

Symbol: P_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population at Earlier Census

Proportionality Factor

Proportionality Factor is defined as rate of change of population.

Symbol: K_G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionality Factor

Mid-Year Census Date

The Mid-Year Census Date refers to the date at which population is noted.

Symbol: T_M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mid-Year Census Date

Earlier Census Date

The Earlier Census Date refers to the date at which the population is noted.

Symbol: T_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Earlier Census Date

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Inter Censal Period category

Go Population at Earlier Census for Geometric Increase Method

P E = \exp (\log 10 (P M) - K G \cdot (T M - T E))

Go Proportionality Factor for Geometric Increase Method

K G = \frac{\log 10 (P M) - \log 10 (P E)}{T M - T E}

Go Mid Year Census Date for Geometric Increase Method

T M = T E + (\frac{\log 10 (P M) - \log 10 (P E)}{K G})

Go Earlier Census Date for Geometric Increase Method

T E = T M - (\frac{\log 10 (P M) - \log 10 (P E)}{K G})

How to Evaluate Population at Mid Year for Geometric Increase Method?

Population at Mid Year for Geometric Increase Method evaluator uses Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)) to evaluate the Population at Mid Year Census, The Population at Mid Year for Geometric Increase Method is defined as the value of population at mid year when we have prior information of other parameters used. Population at Mid Year Census is denoted by P_M symbol.

How to evaluate Population at Mid Year for Geometric Increase Method using this online evaluator? To use this online evaluator for Population at Mid Year for Geometric Increase Method, enter Population at Earlier Census (P_E), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Earlier Census Date (T_E) and hit the calculate button.

FAQs on Population at Mid Year for Geometric Increase Method

What is the formula to find Population at Mid Year for Geometric Increase Method?

The formula of Population at Mid Year for Geometric Increase Method is expressed as Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). Here is an example- 5.014946 = exp(log10(22)+0.03*(29-20)).

How to calculate Population at Mid Year for Geometric Increase Method?

With Population at Earlier Census (P_E), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Earlier Census Date (T_E) we can find Population at Mid Year for Geometric Increase Method using the formula - Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). This formula also uses Common Logarithm Function, Exponential Growth Function function(s).

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Population at Mid Year for Geometric Increase Method Formula

Population at Mid Year for Geometric Increase Method Example

Population at Mid Year for Geometric Increase Method Solution

Population at Mid Year for Geometric Increase Method Formula Elements

Other formulas in Inter Censal Period category

How to Evaluate Population at Mid Year for Geometric Increase Method?

FAQs on Population at Mid Year for Geometric Increase Method

Variable Name