# Problems from The median

Fill in the points of every team of the following classification of the teams of the League of the Spanish soccer:

 Team Points Barcelona Real Madrid Seville Valencia Villareal Atlético Malaga Deportivo Majorca Almeria Athletic Racing Betis Osasuna Getafe Sporting Recreativo Valladolid Espanyol Numantia
• Find the median of the points of the teams.

• Find the median of the points of the teams in positions to play European competitions the following year (the first six teams in the table).

• Find the median of the teams in relegation position (the last three teams in the table).
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### Development:

We define the following scorings.

 Team Points Barcelona 81 Real Madrid 75 Seville 63 Valencia 56 Villareal 56 Athletic 54 Malaga 53 Deportivo 53 Majorca 53 Almeria 51 Athletic 50 Racing 41 Betis 40 Osasuna 40 Getafe 33 Sporting 33 Recreativo 33 Valladolid 29 Espanyol 28 Numantia 28
• Bearing in mind that $$20$$ teams are taking part, there will be two central values. Since it is an arranged classification, it is not necessary to do a table of cumulative frequencies. It is enough to at the scorings of the teams in positions $$10$$th and $$11$$th.

Almeria - $$51$$ points

Athletic - $$50$$ points

And so, the median will be the average of $$50$$ and $$51$$: $$50,5$$ points.

• As there are $$6$$ teams in position to play in Europe the next year, we divide both points of the third and fourth team.

### Solution:

$$1, 4, 5, 6$$. M=$$4,5$$.

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