Pregunta
A normal distribution has mean
and standard deviation
. Find and interpret the
-score for
.
The
-score for
is
. So 72 is
standard deviations (Choose one)
the mean
.
The
Ask by Watkins Bright. in the United States
Dec 21,2024
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The
-score for
is
. So, 72 is
standard deviations above the mean
.
Solución

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Como
Bonus Knowledge
To find the
-score for
, we can use the formula:
Substituting in the values provided:
The
-score for
is
. So 72 is
standard deviations above the mean
.
Understanding
-scores can be particularly helpful in various fields such as psychology or education. For instance, if test scores are normally distributed, a score with a
-score of
indicates it falls above average, specifically within the top percentile of test-takers.
In practical terms, when interpreting
-scores, remember that a positive score indicates a value above the mean while a negative score signifies a value below the mean. This concept can be used in real-life scenarios, like assessing performance metrics, where knowing how far you stand relative to the average can help in setting personal or organizational goals.

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