Final answer:
When the fifth score is included in the table, Analisa's mean score does not change, but Luke's mean score will change depending on the value of the fifth score.
Step-by-step explanation:
When the fifth score is included in the table, Analisa's mean score does not change, which means her mean score will still be the same as before the fifth score was included. This implies that the fifth score must be the same as Analisa's mean score.
On the other hand, when the fifth score is included in the table, Luke's mean score will change if the fifth score is different from his previous mean score. If the fifth score is the same as his previous mean score, his mean score will not change.
In other words, for Luke's mean score to remain the same, the fifth score must be the same as his previous mean score. If the fifth score is different from his previous mean score, his mean score will change.