68.0k views
0 votes
If you are in the top 1% of your graduating class, what is your equivalent z-score?

User Archytect
by
8.0k points

1 Answer

2 votes

Final answer:

The equivalent z-score for being in the top 1% of your graduating class can be calculated using the standard normal distribution.

Step-by-step explanation:

The equivalent z-score for being in the top 1% of your graduating class can be calculated using the standard normal distribution table or a z-score calculator. In this case, since we know that Susan's z-score was 2.0, we can use the same approach. A z-score of 2.0 means that Susan scored 2 standard deviations above the class mean.

To find the percentage corresponding to a z-score of 2.0, we can refer to the empirical rule, also known as the 68-95-99.7 rule. According to this rule, about 95% of the values lie between z-scores of -2 and 2. Since the top 1% corresponds to values above 2 standard deviations, we can conclude that being in the top 1% of the graduating class is equivalent to having a z-score greater than 2.0.

Therefore, the equivalent z-score for being in the top 1% of your graduating class is greater than 2.0.

User JackCColeman
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.