the median of a set of eight numbers is 4 1/2.given hat seven numbers are 9,2,3,4,1,12,13,find the eighth number

Question

mean median mode

 

Answer 1

the median of an even number of numbers is the mean of the two middle numbers after the numbers have been arranged in order of size, such as smallest to largest

 

1  2  3  4  X  9  12  13

the two middle numbers are 4 and X

(4+X)/2=4 1/2

4+X=2*(4 1/2)

4+X=9

X=9-4

X=5

look at it this way; 4 1/2 is halfway between 4 and what number ? 5 !!