Population at Mid Year for Geometric Increase Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
PM = exp(log10(PE)+KG*(TM-TE))
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 - The Population at Mid Year Census refers to the population at the mid year census date.
Population at Earlier Census - The Population at Earlier Census refers to the population at the earlier census date.
Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Mid-Year Census Date - The Mid-Year Census Date refers to the date at which population is noted.
Earlier Census Date - The Earlier Census Date refers to the date at which the population is noted.
STEP 1: Convert Input(s) to Base Unit
Population at Earlier Census: 22 --> No Conversion Required
Proportionality Factor: 0.03 --> No Conversion Required
Mid-Year Census Date: 29 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PM = exp(log10(PE)+KG*(TM-TE)) --> exp(log10(22)+0.03*(29-20))
Evaluating ... ...
PM = 5.01494613622193
STEP 3: Convert Result to Output's Unit
5.01494613622193 --> No Conversion Required
FINAL ANSWER
5.01494613622193 5.014946 <-- Population at Mid Year Census
(Calculation completed in 00.004 seconds)

Credits

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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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Inter Censal Period Calculators

Proportionality Factor for Geometric Increase Method
​ LaTeX ​ Go Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
Mid Year Census Date for Geometric Increase Method
​ LaTeX ​ Go Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)
Population at Earlier Census for Geometric Increase Method
​ LaTeX ​ Go Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
Population at Mid Year for Geometric Increase Method
​ LaTeX ​ Go Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Population at Mid Year for Geometric Increase Method Formula

​LaTeX ​Go
Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
PM = exp(log10(PE)+KG*(TM-TE))

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.

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

Population at Mid Year for Geometric Increase Method calculator uses Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)) to calculate 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 PM symbol.

How to calculate Population at Mid Year for Geometric Increase Method using this online calculator? To use this online calculator for Population at Mid Year for Geometric Increase Method, enter Population at Earlier Census (PE), Proportionality Factor (KG), Mid-Year Census Date (TM) & Earlier Census Date (TE) and hit the calculate button. Here is how the Population at Mid Year for Geometric Increase Method calculation can be explained with given input values -> 5.014946 = exp(log10(22)+0.03*(29-20)).

FAQ

What is Population at Mid Year for Geometric Increase Method?
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 and is represented as PM = exp(log10(PE)+KG*(TM-TE)) or Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). The Population at Earlier Census refers to the population at the earlier census date, Proportionality Factor is defined as rate of change of population, The Mid-Year Census Date refers to the date at which population is noted & The Earlier Census Date refers to the date at which the population is noted.
How to calculate Population at Mid Year for Geometric Increase Method?
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 is calculated using Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date)). To calculate Population at Mid Year for Geometric Increase Method, you need Population at Earlier Census (PE), Proportionality Factor (KG), Mid-Year Census Date (TM) & Earlier Census Date (TE). With our tool, you need to enter the respective value for Population at Earlier Census, Proportionality Factor, Mid-Year Census Date & Earlier 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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