SOLUTION: Scores: 62,63,63,64,64,65,65,66,66,66,66,66,66,66,67,67,67,68,68,77. (20 total scores) Find the median, the upper quartile and the lower quartile. Isn't the median 65.5? Help

Algebra ->  Probability-and-statistics -> SOLUTION: Scores: 62,63,63,64,64,65,65,66,66,66,66,66,66,66,67,67,67,68,68,77. (20 total scores) Find the median, the upper quartile and the lower quartile. Isn't the median 65.5? Help      Log On


   



Question 1042295: Scores: 62,63,63,64,64,65,65,66,66,66,66,66,66,66,67,67,67,68,68,77. (20 total scores)
Find the median, the upper quartile and the lower quartile.
Isn't the median 65.5? Help!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, since there are 20 values the median would be the average of the tenth and eleventh value when they're ordered.
M=%2866%2B66%29%2F2=66
Since there are 20 total values, you can break up the data into two sets of 10.
The lower quartile is the median of the first 10 values.
Q%5B1%5D=%2864%2B65%29%2F2=64.5
The upper quartile is the median of the last 10 values.
Q%5B3%5D=%2867%2B67%29%2F2=67
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