Question

The height (in cm) of the volly ball players from term $A$ and $B$ were recorded as
Team A:$180,178,176,181,190,175,187$
,Team B: $174,175,190,179,178,185,177.$
Which team had the greater average height?
Find the mediam of team $A$ and Team $B$

Answer 1

$TeamA:$

Arranging team $A$ members height in ascending order.

$\Rightarrow$ $175,176,178,180,181,187,190$

Number of players $=7$

$\Rightarrow$ Average height of team $A$ $=\frac{175+176+178+180+181+187+190}{7}=\frac{1267}{7}=181$

Number of players are in odd numbers.

$\therefore$ $Median={\left(\frac{n+1}{2}\right)}^{th}player=4^{th}player$

$\therefore$ $Median=180$

$TeamB:$

Arranging team $A$ players height in ascending order.

$\Rightarrow$ $174,175,177,178,179,185,190$

Number of players $=7$

$\Rightarrow$ Average height of team $B=\frac{174+175+177+178+179+185+190}{7}=\frac{1258}{7}=179.71$

Number of players are in odd numbers.

$\therefore$ $Median={\left(\frac{n+1}{2}\right)}^{th}player=4^{th}player$

$\therefore$ $Median=178$

$\therefore$ We can see team $A$ players has greater average height.