What are the minimum, first quartile, median, third quartile, and maximum of the data set below?
125 80 140 135 126 140 350 75

Question

What are the minimum, first quartile, median, third quartile, and maximum of the data set below? 
125 80 140 135 126 140 350 75

radar · Answer

Firtst, you need to rearrange the data into ascending order like:

75 80 ...................   350    do that and then calculate the median.

radar · Answer

75 80 125 126 135 140 140 350

anonymous · Answer

$$(Q _{2} )$$ = 130.5  am I correct?

radar · Answer

Let me see, in this case we have 8, an even number of data points, so we locate the the point that there is the same number of data points above and below.  The two points that have the same number of data points above and below are 126 and 135.  We take the mean of those two points:  126 +135 = 261  so 130.5 is correct for the median.

radar · Answer

Can you now locate the median between the first data point and the median of the complete set that you now have solved for (130.5)

radar · Answer

That would be the first quartile.

anonymous · Answer

The first quartile would be 102.5

anonymous · Answer

by adding 126 and 135 I then divided them by 2.

radar · Answer

75 80 125 126 (130.5)  
Looks like that would be 125 for the first quartile 
(130.5) 135 140 140 350 and 140 is the third quartile.

radar · Answer

Yes.

anonymous · Answer

Thank you, how would I get the minimum and the maximum? After listing the numbers in order from least to greatest, would the first number be the minimum and the last one be the maximum?

radar · Answer

The first quartile is the point where there is equal number of data points above and below that point and the median (if total data points are even).

anonymous · Answer

I'm sorry, I don't understand what that means, could you please expound on that explanation?

radar · Answer

Yes min and max makes sense (75, 350)

anonymous · Answer

Ohhhhh thank you [:

radar · Answer

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