+168 0. 7. 2. 6. 9. 2. 0. 7.
Two more numbers are added. The median is 3.5 and the mode is 0.
What are the numbers ?
I started by putting the numbers in order:
0. 0. 2. 2. 6. 7. 7. 9
One must be 0 for the mode to be 0? But how do I work out the other using the median?
+9673 Your hypothesis is correct. One must be 0 for the mode to be 0.
So now the numbers are 0 0 0 2 2 6 7 7 9.
If one more number is added, the number of integers in the list will be 10.
Let x be the other integer.
The numbers are 0 0 0 2 2 6 7 7 9 x.(I don't know the value of x, without loss of generality, I put it at the back of the list.)
Now the mode apparently is not 3.5, Therefore x should be added right after the left half of the list. (why?)
So the numbers now are 0 0 0 2 2 x 6 7 7 9.
Next thing we do is to solve \(\dfrac{2+x}{2} = 3.5\)
Just by inspection, x = 5.
Therefore the 2 numbers added are 0 and 5.
