Mathematical Model needed for new product.

AI Thread Summary
The discussion revolves around calculating the number of females aged 25-40 in City 1 and determining how many of them need Product X. The population of City 1 is 100,000, with 53.57% being female, leading to approximately 53,570 females. However, there is confusion regarding the methodology for calculating the percentage of females in the specified age range and the percentage needing Product X. Participants highlight errors in the calculations, particularly in deriving the percentage for the age range and the need for clarity in using the correct age brackets. The conversation emphasizes the need for accurate demographic analysis to derive meaningful conclusions about the target market for Product X.
JAE1XINMD
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Hi All,

Have the following given and would like some help with the 3 questions below. Any help will be greatly appreciated :)

City 1
TOTAL POPULATION CITY 1 100,000
Avg Age of Population 27.8
Median Age (Male) 20.5
Median Age (Female) 27.8
% Male Population 46.43%
% Female Population 53.57%
% 16 & over 92.43%
% 18 & over 91.83%
% 21 & over 41.92%
% 65 & over 4.90%


% of US Female Population (ages 15 - 44) that need Product X: 11%



Questions (Methedology used)
1. How many females between the age of 25 - 40 live in City 1.
2. What % of females between the age of 25 - 40 need Product X.
3. How many females between the age of 25-40 in City 1 need Product X.

My Methodology

Get % of inidvuduals in the 25 - 40 year range
Year between 25 -40 including 25 & 40 = 16
Years between 21 - 64 including 21 & 64 = 45
I am now looking for 16 of the 45 years = 36% of the age range
% in the desired range = 37% x 36% = 13.15 %
% 21 - 64 : 41.92 % - 4.90 % = 37%my answersQuestions (Methedology used)
1. How many females between the age of 25 - 40 live in City 1? 100,000 * 53.57= 53,570 (Females); 53,570 x 13.15% = 7,044
2. What % of females between the age of 25 - 40 need Product X? There are 31 years betwween 15 - 44 incl. 15 & 44, looking for 16 years so it would be 11% x 52% = 6%
3. How many females between the age of 25-40 in City 1 need Product X? 7,044 x 6% = 423
 
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Can you show us what you've tried so our helpers know where you are stuck and/or may be going wrong?
 
I've updated the post with my methodology
 
JAE1XINMD said:
Questions (Methedology used)
1. How many females between the age of 25 - 40 live in City 1? 100,000 * 53.57= 53,570 (Females);
Okay, there are 100,000 people in City 1 and 53.57% of them are women (but you are really multiplying 100000 by .5357, not 53.57).

53,570 x 13.15% = 7,044

But where did you get 13.15%?
The given data does not say anything about ages "25" and "40".

2. What % of females between the age of 25 - 40 need Product X? There are 31 years betwween 15 - 44 incl. 15 & 44, looking for 16 years so it would be 11% x 52% = 6%
Why "15" and "44" when the question was about "25" and "40"? (Oh, and the product of two percentages is NOT a percentage.)

3. How many females between the age of 25-40 in City 1 need Product X? 7,044 x 6% = 423
 
Thanks for the reply. So is there a way to figure out 1, 2 & 3 with the given info? I need to figure out how to calculate the the percentages for the ideal age range of 25 through 40.

Note: % of US Female Population (ages 15 - 44) that need Product X: 11% _ this is a Given


"53,570 x 13.15% = 7,044

But where did you get 13.15%?
The given data does not say anything about ages "25" and "40"."

Comment: the 13.15% needs to be calculated based on the Given demographic info 2. What % of females between the age of 25 - 40 need Product X? There are 31 years betwween 15 - 44 incl. 15 & 44, looking for 16 years so it would be 11% x 52% = 6%

From the 15-44 range what % need product X that are in the 25 - 40 age range. "Why "15" and "44" when the question was about "25" and "40"? (Oh, and the product of two percentages is NOT a percentage.)
How many females between the age of 25-40 in City 1 need Product X? 7,044 x 6% = 423"

Comment: 25 through 40 is the ideal age range but the correct percentages must be calculated from the Given info. How would I be able to get to the correct percentages for the ideal age ranges?
 
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