The median

Create a list of the weight (rounded to the kilogram) of $7$ people. Then, calculate the median of the weights.

$$60, 65, 69, 70, 75, 95, 99$$

The central value of the list, which has $3$ values above and $3$ below, is $70$ kg.

$60, 65, 69, 70, 75, 95, 99$. M=$70$ kg

Create a list of four results of a dice. Then, calculate the median of the result of throwing the dice.

$$1, 4, 5, 6$$

We calculate the average of the central values (since there is an even number of elements). $$\dfrac{4+5}{2}=4,5$$

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

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

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).

We define the following scorings.

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.

$$\dfrac{63+56}{2}=59,5$$

The median is $59,5$ points.

The median will be the value of the scoring of the team in the intermediate position of those who are in relegation (that is, the scoring of the Espanyol).

And so, the median of the teams in relegation is $28$ points.