Answer :
A quiz score of 78 is indeed regarded as unusual.
The number of standard deviations that a score or value (x) deviates from the mean is known as the Z score (Z value). Z-score quantifies data dispersion, to put it another way. Z-score, according to the technical definition, indicates how many standard deviations a number (x) is below or above the population mean ().
Given:
The group mean: μ= 76
Typical Deviation: б= 4.1
Let X serve as the random variable representing the students' test results.
The z-score formula is as follows:
z= [tex]\frac{x-u}{\alpha }[/tex]
For x= 78
[tex]z= \frac{78-76}{4.1} \\z= \frac{2}{4.1} \\z= 0.4878[/tex]
Given that the z-score is smaller than 1.96, it is unexceptional.
To learn more about z-score, refer:-
https://brainly.com/question/15016913
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