Maths question. May look easy to you.?

Question

This question may look easy to you but i dnt no it. This is from the 1996 paper were doing.

Show that the mean of five consecutive numbers with median "n" is also "n"

Could you please explain it cause i dnt understand it. thanks

Answer 1

if the median is n, then the five numbers are

n-2, n-1, n, n+1, n+2

mean = ((n-2)+(n-1)+n+(n+1)+(n+2))/5

= 5n/5

= n

Answer 2

five consecutive numbers with median n. That means the third number is n.

(n-2+n-1+n+n+1+n+2)/5=n

Simply fy and you get n=n

Answer 3

five consecutive numbers with median n,it means the third number is n.

So the first is n-2,second is n-1,third is n,fourth is n+1,fifth is n+2

so the mean of them=(n-2+n-1+n+n+1+n+2)/5=n

Answer 4

n-2)+(n-1)+(n+-0)+(n+1).../5=n