#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
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?
2 answers
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
(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