Question

4.

3,5,7,3,3,n,5,4,2
For the numbers listed above, the only mode is 3 and the median is 4. Which of the following COULD be the value of n?

Select answer A 6
Select answer B 3
Select answer C 5
Select answer D 2
Select answer E 1

Answer 1

Have you started on the problem? Ruled out any alternatives?

Answer 2

i think it might be 3

Answer 3

Okay, so we can check 3. If n is three, 3 is still the mode of the numbers. How about 4 being the median? The median is the middlemost number in a list of sorted numbers, so let's sort the list:
\[ 2, 3, 3, 3, 3, 4, 5, 5, 7 \]
Now you can see that 3 is the middlemost number, so if n is 3 the median isn't 4.

Answer 4

oh... true

Answer 5

So if we remove the 3 I typed in for n we get:
\[ 2,3,3,3,4,5,5,7 \]
Where could I put in a number so 4 becomes the median?

Answer 6

next to 7

Answer 7

Yes, in general, if we put a number to the right of the four, 4 becomes median. Since the list is ordered, that means we can put in any number bigger than or equal to 4. Now you should be able to figure out what the answer is.

Answer 8

And don't forget about the mode.

Answer 9

so i have to go for answer 6 or 5 right?

Answer 10

Yes, but 5 won't work for another reason.

Answer 11

yes i figured that out thank you very much

Answer 12

No problem, glad I could help.