Need the help regarding Fibonacci sequence..

toponlinetool

New member
Joined
Jan 7, 2020
Messages
19
Can anyone please help on how to calculate the mean deviation of the first 10 numbers of the Fibonacci sequence?
 

Romsek

Full Member
Joined
Nov 16, 2013
Messages
784
If nothing else you can always apply brute force.

List the first 10 numbers of Fibonacci sequence. (I assume you can do this)
Find their mean.
For each number in the sequence find the absolute value of the difference between it and the mean.
Sum the absolute differences found above and divide by 10.

Since the Fibonacci sequence has structure it may be possible to come up with a cleverer formula for this but you'll probably spend more time deriving it than just brute forcing on such a small data set.
 
Last edited:

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
6,203
What is the definition of "mean deviation"? Is it this?

What are the first 10 Fibonacci numbers?

Please show your work.
 

toponlinetool

New member
Joined
Jan 7, 2020
Messages
19
If nothing else you can always apply brute force.

List the first 10 numbers of Fibonacci sequence. (I assume you can do this)
Find their mean.
For each number in the sequence find the absolute value of the difference between it and the mean.
Sum the absolute differences found above and divide by 10.

Since the Fibonacci sequence has structure it may be possible to come up with a cleverer formula for this but you'll probably spend more time deriving it than just brute forcing on such a small data set.
Thanks..I really found this explaination very useful.
 

toponlinetool

New member
Joined
Jan 7, 2020
Messages
19
What is the definition of "mean deviation"? Is it this?

What are the first 10 Fibonacci numbers?

Please show your work.
You correct guessed it. First 10 Fibonacci numbers are- 0,1,1,2,3,5,8,13,21,34.
 
Top