Population at Mid Year for Geometric Increase Method Post Censal Calculator

✖Population at Last Census is the population at the date of last census.ⓘ Population at Last Census [P_L]			+10% -10%
✖Proportionality Factor is defined as rate of change of population.ⓘ Proportionality Factor [K_G]			+10% -10%
✖Mid-Year Census Date is the date at which population is noted.ⓘ Mid-Year Census Date [T_M]			+10% -10%
✖The Last Census Date is the date at which the population is noted.ⓘ Last Census Date [T_L]			+10% -10%

✖Population at Mid Year Census is the population at the mid year census date.ⓘ Population at Mid Year for Geometric Increase Method Post Censal [P_M]

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Formula

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Population at Mid Year for Geometric Increase Method Post Censal

Formula

`"P"_{"M"} = exp(log10("P"_{"L"})+"K"_{"G"}*("T"_{"M"}- "T"_{"L"}))`

Example

`"4.959213"=exp(log10("20.01")+"0.03"*("29"- "19"))`

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Population at Mid Year for Geometric Increase Method Post Censal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date))
P_M = exp(log10(P_L)+K_G*(T_M- T_L))
This formula uses 2 Functions, 5 Variables

Functions Used

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., 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., exp(Number)

Variables Used

Population at Mid Year Census - Population at Mid Year Census is the population at the mid year census date.
Population at Last Census - Population at Last Census is the population at the date of last census.
Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Mid-Year Census Date - Mid-Year Census Date is the date at which population is noted.
Last Census Date - The Last Census Date is the date at which the population is noted.

STEP 1: Convert Input(s) to Base Unit

Population at Last Census: 20.01 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required
Mid-Year Census Date: 29 --> No Conversion Required
Last Census Date: 19 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_M = exp(log10(P_L)+K_G*(T_M- T_L)) --> exp(log10(20.01)+0.03*(29- 19))

Evaluating ... ...

P_M = 4.95921314800041

STEP 3: Convert Result to Output's Unit

4.95921314800041 --> No Conversion Required

FINAL ANSWER

4.95921314800041 ≈ 4.959213 <-- Population at Mid Year Census

(Calculation completed in 00.005 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 6 Post Censal Period Calculators

Proportionality Factor for Geometric Increase Method Post Censal

Go Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Last Census))/(Mid-Year Census Date- Last Census Date)

Mid Year Census Date for Geometric Increase Method Post Censal

Go Mid-Year Census Date = Last Census Date+((log10(Population at Mid Year Census)-log10(Population at Last Census))/Proportionality Factor)

Last Census Date for Geometric Increase Method Post Censal

Go Last Census Date = Mid-Year Census Date-((log10(Population at Mid Year Census)-log10(Population at Last Census))/Proportionality Factor)

Population at Last Census for Geometric Increase Method Post Censal

Go Population at Last Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date- Last Census Date))

Population at Mid Year for Geometric Increase Method Post Censal

Go Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date))

Population at Earlier Census given Proportionality Factor

Go Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor)

Population at Mid Year for Geometric Increase Method Post Censal Formula

Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date))
P_M = exp(log10(P_L)+K_G*(T_M- T_L))

What is Population?

A Population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

What is Geometric Increase Method?

The Geometric Increase Method is the population forecasting method in which the percentage increase in population from decade to decade is assumed to remain constant.It is also known as the logarithmic growth method or exponential growth method.

How to Calculate Population at Mid Year for Geometric Increase Method Post Censal?

Population at Mid Year for Geometric Increase Method Post Censal calculator uses Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date)) to calculate the Population at Mid Year Census, The Population at Mid Year for Geometric Increase Method Post Censal formula calculates 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 calculate Population at Mid Year for Geometric Increase Method Post Censal using this online calculator? To use this online calculator for Population at Mid Year for Geometric Increase Method Post Censal, enter Population at Last Census (P_L), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Last Census Date (T_L) and hit the calculate button. Here is how the Population at Mid Year for Geometric Increase Method Post Censal calculation can be explained with given input values -> 4.958137 = exp(log10(20.01)+0.03*(29- 19)).

FAQ

What is Population at Mid Year for Geometric Increase Method Post Censal?

The Population at Mid Year for Geometric Increase Method Post Censal formula calculates the value of population at mid year when we have prior information of other parameters used and is represented as P_M = exp(log10(P_L)+K_G*(T_M- T_L)) or Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date)). Population at Last Census is the population at the date of last census, Proportionality Factor is defined as rate of change of population, Mid-Year Census Date is the date at which population is noted & The Last Census Date is the date at which the population is noted.

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

The Population at Mid Year for Geometric Increase Method Post Censal formula calculates the value of population at mid year when we have prior information of other parameters used is calculated using Population at Mid Year Census = exp(log10(Population at Last Census)+Proportionality Factor*(Mid-Year Census Date- Last Census Date)). To calculate Population at Mid Year for Geometric Increase Method Post Censal, you need Population at Last Census (P_L), Proportionality Factor (K_G), Mid-Year Census Date (T_M) & Last Census Date (T_L). With our tool, you need to enter the respective value for Population at Last Census, Proportionality Factor, Mid-Year Census Date & Last Census Date 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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