What does a high and a low z-score mean?

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What does a high and a low z-score mean?

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Answer 1 · 2017-01-17T07:07:20

A high $z$ $z$ -score means a very low probability of data above this $z$ $z$ -score and a low $z$ $z$ -score means a very low probability of data below this $z$ $z$ -score..

Explanation:

A high $z$ $z$ -score means a very low probability of data above this $z$ $z$ -score. For example, the figure below shows the probability of $z$ $z$ -score above $2.6$ $2.6$ .

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Probability for this is $0.47 %$ $0.47%$ , which is less than half-percent. Note that if $z$ $z$ -score rises further, area under the curve fall and probability reduces further.

A low $z$ $z$ -score means a very low probability of data below this $z$ $z$ -score. The figure below shows the probability of $z$ $z$ -score below $- 2.5$ $-2.5$ .

enter image source here

Probability for this is $0.62 %$ $0.62%$ and note that if $z$ $z$ -score falls further, area under the curve falls and probability reduces further.

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What does a high and a low z-score mean?

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