Finding Average of age-groups, given numbers in each age bracket

S

stormmt

New member
Joined
Apr 3, 2019
Messages
4
I'm new to this forum and I need some help. I think this problem can be super easy for you as my mathematics is not my best skill.

I have a research sample of 200 individuals.
The age groups are as follows:

18-24 = 118 (59%)
25-34 = 75 (75%)
35-44 = 6 (6%)
45-54 = 1 (1%)

Can I by any chance find the approximate mean age of this sample? Thank you so much.
 
AgeGroup Average of Age Group * No. of Indiv in Age Group = Total Average of Ages

18-24 = 21 * (118) = 2478
25-34 = 29.5 * (75) = 2212.5
35-44 = 39.5 * (6) = 237
45-54 = 49.5 * (1) = 49.5


Total = 4977/200 (Sample Size)
= 24.89 (Approx. average age)

Does this make sense please?
 
Yes, that is a reasonable approximation. In fact, it's the usual way to estimate the mean of grouped data.

(I wouldn't be surprised if it's an overestimate in this case, considering the shape of the distribution, but you can't really do any better.)
 
stormmt said:
I'm new to this forum and I need some help. I think this problem can be super easy for you as my mathematics is not my best skill.

I have a research sample of 200 individuals.
The age groups are as follows:

18-24 = 118 (59%)
25-34 = 75 (75%)
35-44 = 6 (6%)
45-54 = 1 (1%)

Can I by any chance find the approximate mean age of this sample? Thank you so much.
Click to expand...
Are your percentages correct?
118 out of 200 = 59%
75 out of 200 = 37.5% not 75%
6 out of 200 = 3% not 6%
1 out of 200 = 0.5% not 1%
In your next post you haven't used these percentages anyway.
 
You're right. I wrote them wrong in this post. Thanks for the correction!
 
You must log in or register to reply here.
Top