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**Hint:**In this type of question we have to use the concept of mean. We know that, the mean of given data can be calculated by using formula, \[\text{Mean = }\dfrac{\text{Sum of observations}}{\text{No}\text{. of observations}}\]. Here, we have given the points of each player scored in four games and we have to calculate the mean of four games played by the player Y. So for this, we consider the values of the points of player Y and then by using the above formula we try to obtain the final result.

**Complete step-by-step solution:**

Now we have to find the mean for player Y who has played all the four games.

Players | Game I | Game II | Game III | Game IV |

X | 14 | 16 | 10 | 10 |

Y | 0 | 8 | 6 | 4 |

Z | 8 | 11 | Did not play | 13 |

From the table we can observe that, the points scored by Y are as follows:

Game I – 0, Game II – 8, Game III – 6 and Game IV – 4.

We know that mean for the given data can be calculated by using the formula,

\[\Rightarrow \text{Mean = }\dfrac{\text{Sum of observations}}{\text{No}\text{. of observations}}\]

Hence, we can find the mean for player Y as

\[\begin{align}

& \Rightarrow \text{Y }\!\!'\!\!\text{ s Mean = }\dfrac{\text{Sum of observations}}{\text{No}\text{. of observations}} \\

& \Rightarrow \text{Y }\!\!'\!\!\text{ s Mean = }\dfrac{\text{0+8+6+4}}{4} \\

& \Rightarrow \text{Y }\!\!'\!\!\text{ s Mean = }\dfrac{18}{4} \\

& \Rightarrow \text{Y }\!\!'\!\!\text{ s Mean = 4}\text{.5} \\

\end{align}\]

Hence, the mean of the points scored by the player Y is 4.5

**Note:**In this type of question the students have to use the definition of mean of the given data. Also in this question students have to read the table properly as in the table, points for the three players scored in four games are given and we have to calculate mean for the player Y.

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