SOLUTION: The arithmetic mean and median of five numbers a, a, b, c, c are 40 and 50 respectivly. If a < b

SOLUTION: The arithmetic mean and median of five numbers a, a, b, c, c are 40 and 50 respectivly. If a < b < c , what is the value of a + c?

Question 726525: The arithmetic mean and median of five numbers a, a, b, c, c are 40 and 50 respectivly. If a < b < c , what is the value of a + c?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The median is the number that is in the middle if you arrange the values in order. (If there is an even number of values you average the two in the middle).
It is a number such that half of the values are lesser or equal and the othe half are greater or equal.
In this case, you have 5 values, listed in order, and the middle one is , the median.
The average (or arithmetic mean) is

so, multiplying both sides times 5, we get
-->
Substituting ,
--> --> --> --> -->
RELATED QUESTIONS
The five numbers are ordered from least to greatest 3< 7< 9< 14< x. If the average... (answered by richwmiller)

If in an eqilateral triangle ABC the coordinates of B and C are (1,0) and (5,0)... (answered by cleomenius)

What is the largest possible value for the sum of five consecutive even numbers, if 10... (answered by stanbon)

If a+b=7(c+d), what would be the average (arithmetic mean) of a, b, c and... (answered by Fombitz)

In a set of five positive integers, the average (arithmetic mean), median and mode are... (answered by Theo)

P=The average of a and b Q=The average of b and c R=The average of c and a The... (answered by Edwin McCravy,robertb)

The average (arithmetic mean) of a, b, c and d is n. If a + b = 150, what is c + d ?... (answered by palanisamy)

If the average (arithmetic mean) of seven numbers is -8 and the average of five of the... (answered by Fombitz)

If the average (arithmetic mean) of eight numbers is 20 and the average of five of these... (answered by stanbon)