Question

Given the set of numbers, 11, 8, 14, 14, x, consider each different situation:

1. The mean of the numbers is 13 - find x

2. The median of the number is 14 - what do you know about x?

3. There are two modes, what do you know about x?

Answer 1

#1. since the median is the middle value, and all of the given values are more or less than 13, x=13

#2. since 14 is now the middle value, x > 14

#3. since 14 is one mode, x must be equal to one of the other numbers

If this problem was difficult, you should review the topics of median and mode

Answer 2

There are five numbers so for the mean add them and divide by 5
(11+8+14+14+ x) / 5 = 13
47 + x = 13*5 = 65
x = 65 - 47 = 18

The median has to have littler numbers left and bigger numbers right, so x better be bigger than 14

14 is a mode, if there is another x must be 8 or11