# Thread: Have no clue How to do this. neither does dad xD

1. ## Have no clue How to do this. neither does dad xD

The median of a set of consecutive odd intergers is 138. If the greatest integer in the set is 145 what is the smallest integer in the set?

I DONT KNOW :O

2. 131 perhaps start with 131 go to 145. 138 is the median. i could be wrong, but i think that's right

3. yeah but what does consecutive mean?

4. Originally Posted by xsriel
yeah but what does consecutive mean?
thats what was throwing me off xD ok yeah its rite thnlxs

5. Originally Posted by xsriel
The median of a set of consecutive odd intergers is 138. If the greatest integer in the set is 145 what is the smallest integer in the set?

I DONT KNOW :O
Consider this...we need a set $\displaystyle \left\{a_1,a_2,\cdots,145\right\}$

Now for the median to 138 we need there to be an even amount of elements the middle two being 139 and 137 so it should be pretty obvious the set is

$\displaystyle \left\{129,\cdots,145\right\}$

6. Originally Posted by goomage13
131 perhaps start with 131 go to 145. 138 is the median. i could be wrong, but i think that's right
$\displaystyle \text{Med}\left(\left\{131,\cdots,145\right\}\righ t)=139$

7. Originally Posted by xsriel
The median of a set of consecutive odd intergers is 138. If the greatest integer in the set is 145 what is the smallest integer in the set?

I DONT KNOW :O
I agree the answer is 131.

8. oh...ill copy down both and ask my teacher xxD but thanks for the help

9. Originally Posted by euclid2
I agree the answer is 131.
xDDDDDDDDDD

10. Originally Posted by euclid2
I agree the answer is 131.
Forgive me...I omittied the 135 term in my calculations..sorry

11. Hello, xsriel!

The median of a set of consecutive odd integers is 138.
If the greatest integer in the set is 145 what is the smallest integer in the set?
You can baby-talk your way through this one . . .

We have consecutive odd integers, like: .$\displaystyle \hdots\;129, 131, 135, 137, 139, 141, 143, 145, 147\; \hdots$

If 138 is the median, it is in the "middle" of the set of integers
. . (with an equal number of integers on both sides).

. . $\displaystyle \begin{array}{cccccccccccc}\hdots & 129 & 131 &133 & 135 & 137 & 139 & 141 & 143 & 145 & 147 & \hdots \end{array}$
. - - . . . . . . . . . . . . . . . . .$\displaystyle \uparrow$
. . . . . . . . . . . . . . . . . . . $\displaystyle 138$

Since the largest number is 145, the sequence looks like this:

. . $\displaystyle \begin{array}{cccccccccccc}131 & 133 & 135 & 137 & 139 & 141 & 143 & 145 \end{array}$
. - . - . . . . . . . . . .$\displaystyle \uparrow$

Therefore, the smallest integer is 131.