MHB -gre.qu.10 quantity on 2 means

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Means
Click For Summary
The discussion focuses on a mathematical problem involving the calculation of means from two sets of measurements. The initial values are given as a=2300 from 100 measurements and a+b=1350 from 50 additional measurements. The total sum of all measurements is calculated to be 3650, leading to an arithmetic mean of 73/3. It is noted that since there are more elements with a lower mean (23) than those with a higher mean (27), the overall arithmetic mean is less than 25. The conversation highlights the importance of careful setup to avoid errors in calculations.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
008.png

posted a screenshot because I think the wording is awkward and I think it is easy to setup it up wrong

so to begin with we have a and b being list of added numbers
$\dfrac{a}{100}=23$ and $\dfrac{a+b}{150}=27$

so now what?
 
Mathematics news on Phys.org
we have sum of 100 measurements = 2300

sum of 50 additional measurements = 27 * 50 = 1350

total sum = 2300 + 1350 = 2650

so arithmetic mean = $\frac{3650}{150} = \frac{73}{3}$

so B is bigger

for a short cut 25 is mean of 23 and 27

more elements(100) have mean 23 and less (50) elements have 27 so arithmetic mean < 25
 
Last edited:
mahalo i probably would of missed it
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
5
Views
2K