Find the z-score

Question

Suppose 12 people are asked to rate themselves in terms of their accumulated wisdom. The first 11 people, being humble, give themselves a zero. The 12th person--with gigantic arrogance--responds by saying, "I have infinite wisdom." Suppose you are asked to convert the 12th person's self-rating (“infinity”) into a z-score. With the reference group defined as the 12 people from whom self-ratings on wisdom are gathered, and with the data being 11 zeroes and positive infinity, what is the z-score for the 12th person's self rating?

 

 

Please help in providing the z-score along with an explanation of how you determined this or just an explanation so I can start the problem - I do not even know where to begin besides making two columns with the person (1,2,3..) and their rate response. 

 

 

Answer 1

This question is asking you to do calculations with accepted formulas, substituting INFINITY for a number.

That's not good because infinity is a CONCEPT, not a specific number. Do not fall into the trap that this question is posing.

 

The z formula requires a number x, minus the mean, all over sigma, the std. deviation.  These must be specific Real numbers.