Support NeoGAF

[Joel Was Right]

The mean age of the 11 members of a football team is 22 years.

a) When one member of the football team was sent off, the mean age of the rest of the team was 21 years. How old was the player who was sent off?

b) The modal age of the 11 players is 17 and only the 3 youngest players are aged 17. The median age of the 11 players is 20. What is the maximum possible age of one of the players?

A)

22 x 11 = 242
21 x 10 = 210

242-210 = 32

So he is 32 years old.

B) The answer is said to be 41, but I'd like to see a formula for working this out. This is how I saw it. I know the total age of these 11 players is 242 years old.

17. 17. 17. xx. xx. 20.xx.xx.xx.xx.32

That in itself equates to 103, leaving you with 139 left to come from the remaining six players whose age you've yet to calculate. The sequence is allegedly the following:

17.17.17.18.18.20.20.21.21.32.41

But if the goal is to get to 242, by not repeating another modal number (17), couldn't you get a different sequence of numbers? e.g.

17.17.17.18.19.20.21.22.25.32.34?

 

[lobdale]

8

 

[Cyan]

But if the goal is to get to 242, by not repeating another modal number (17), couldn't you get a different sequence of numbers? e.g.

17.17.17.18.19.20.21.22.25.32.34?

Yes, but why would you if you want the max for a single player? You'll pick the lowest possible values for every position but the last.

 

[blame space]

the answer is whatever you want it to be. really no one gives a fuck mathematics will continue to exist regardless. controversial thread tho.

 

[Feep]

A)

22 x 11 = 242
21 x 10 = 210

242-210 = 32

So he is 32 years old.

B) The answer is said to be 41, but I'd like to see a formula for working this out. This is how I saw it. I know the total age of these 11 players is 242 years old.

17. 17. 17. xx. xx. 20.xx.xx.xx.xx.32

That in itself equates to 103, leaving you with 139 left to come from the remaining six players whose age you've yet to calculate. The sequence is allegedly the following:

17.17.17.18.18.20.20.21.21.32.41

But if the goal is to get to 242, by not repeating another modal number (17), couldn't you get a different sequence of numbers? e.g.

17.17.17.18.19.20.21.22.25.32.34?

The goal is to reach the maximum for the top number, which means minimizing the rest of the numbers. For the two spaces between the 17's and the 20, these should be 18's. So, we have:

17.17.17.18.18.20.xx.xx.xx.32.xx

The total of the existing numbers is 139, meaning we need 103. The smallest the numbers to the right of the 20 can be is 20, but we cannot have more than two twenties, or the mode will be changed. So 17.17.17.18.18.20.20.21.21.32.xx. This leaves 41 to reach the total 242, thus the answer is 41.

 

[blame space]

"quick math problem on NeoGAF.com, they'll get to the bottom of this."

 

[Feep]

"quick math problem on NeoGAF.com, they'll get to the bottom of this."

We have an official math help thread, but some people don't know about it. (shrug)

 

[Joel Was Right]

Yes, but why would you if you want the max for a single player? You'll pick the lowest possible values for every position but the last.

Ah. I didn't think of it that way (aka didn't read the question properly)

 

[ElectricBlanketFire]

You mean a quick maths problem.

 

[TUSR]

You mean a quick maths problem.

ah fuck.

 

[Joel Was Right]

You mean a quick maths problem.

I use the term 'maths' personally but I was trying to American-friendly with the language, as they call it 'math'

 

[Falcs]

MATHS!