140, 142, 142, x, 170, 172

a) If the median of this data set is 147, what is the value of x?

Question

140, 142, 142, x, 170, 172

a)  If the median of this data set is 147, what is the value of x?

anonymous · Answer

I'll try

anonymous · Answer

okidoke!

anonymous · Answer

I think 116 I have to check not sure

anonymous · Answer

How did you get that ? :3

mrnood · Answer

in an even number of samples the median is generally taken to be the mean of the 2 middle numbers

So in this case 142 and x are the miidle numbers

so the mean of 142 and x is 147.

this means (142+x)/2 = 147

You can do it from there....

anonymous · Answer

Yes it is x=116

mrnood · Answer

@ttb123456789 
that is not correct

anonymous · Answer

Oh sorry. I conted mean not median Let me redo

mrnood · Answer

not even the mean is 116

anonymous · Answer

Why

anonymous · Answer

I thought you can set it up as

(142+x)/2=147

anonymous · Answer

Wait, MrNood, after 142+x/2 = 147, you multiply both sides by 2 and go through that process right?

mrnood · Answer

@unicornsandmarshmellows yes - but beware - where I put the brackets

anonymous · Answer

yeah i notified that thanks !

anonymous · Answer

alrighty awesome thanks for your help!

mrnood · Answer

@ttb123456789 

I apologise : IF the mean were 147 then x would be 116