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Suppose a person has a Z score for overall health of +2 and a Z score for overall sense of humor of +1. What does it mean to say that this person is healthier than she is funny?

a) The person is equally healthy and funny.
b) The person is healthier than their sense of humor suggests.
c) The person is funnier than their health suggests.
d) The person's health and sense of humor are not related.

User Yaje
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Final answer:

The Z scores indicate that the person's health is two standard deviations above the mean while their sense of humor is one standard deviation above the mean, making the person healthier than they are funny.

Step-by-step explanation:

A Z score is a statistical measurement that describes a value's relationship to the mean of a group of values. If a person has a Z score for overall health of +2 and a Z score for overall sense of humor of +1, it means that the person's health is two standard deviations above the mean, while their sense of humor is one standard deviation above the mean. Therefore, the person is healthier than they are funny, which corresponds to option b) The person is healthier than their sense of humor suggests.

The concept of Z score helps in comparing data that are scaled differently and understanding how far a particular score is from the mean. A higher Z score indicates that the value is further above the mean. Therefore, a Z score of +2 for health implies that this person's health is better than average by a greater degree than their sense of humor is above average (which has a Z score of +1).

User Opiatefuchs
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