Team average height

There are 12 players on the team, with an average height of 185 cm. If the average height of a new player increased by 1 cm after he joined the team, what would be his height?

Final Answer:

x =  198 cm

Step-by-step explanation:

$$\begin{gathered} \mu =185\text{cm} \\ n=12 \\ \Delta =1\text{cm} \\ \mu +\Delta =\frac{n\cdot \mu +x}{n+1} \\ (\mu +\Delta )\cdot (n+1)=n\cdot \mu +x \\ (185+1)\cdot (12+1)=12\cdot 185+x \\ x=198=198\text{cm} \end{gathered}$$

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