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
$\displaystyle \left\{129,\cdots,145\right\}$
Hello, xsriel!
You can baby-talk your way through this one . . .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?
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.