Question

an iterative average of the number 1,2,3,4 and 5 is computed the following way arrange the 5 number in some order find the mean of the first number what is the difference between the largest and smallest possible value that can be obtained using this procedure​

Answer 1

Answer:

1<2<3<4<5

Translating the question into an equation

= d

(5+4)/2 = 4.5 (there is no other combination of number in which you can get more than 4.5 hence this would be the largest mean)

(1+2)/2 = 1.5 this will be the smallest combination

once we have established that rest is simple

Largest set =>

(5+4)/2=9/2

(9/2+3)/2= 15/4

(15/4+2)/2 =23/8

(23/8+1)/2 = 31/6

Smallest set =>

(1+2)/2= 3/2

(3/2+3)/2 = 9/4

(9/4+4)/2 =25/8

(25/8+5)/2 = 65/16

Difference between the largest and the smallest