Question

the modes of a 7 set of numbers is m and n. the average is 18. three of the 7 numbers are 2m-3, m+12, and 3n+2. what is the value of (m+n)

Answer 1

m+n=23

Explanation:

the modes m and n have to be data points more than 1 time, but equal

if there are 7 data points, then there are 4 unknown left/2 2 each

(2m-3+m+12+3n+2+m+m+n+n)/7=18

(3m+9+3n+2+m+m+n+n)/7=18

(5m+5n+11)/7=18

(5/7)*m+(5/7)*n+11/7=126/7

(5/7)*m+(5/7)*n=115/7

5m+5n=115

m+n=115/5

m+n=23