Answer :
The required z-score of the given normal distribution is 4.
What is a z-score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.
Standard deviations from the mean are used to measure Z-score.
A Z-score of zero means the data point's score is the same as the mean score.
In essence, standard deviation represents the degree of variability present in a given data collection.
So, the formula is:
Z = (X - μ)/σ
We have a mean of 91, a standard deviation of 6, and a data value of 115.
Now, insert the values as follows:
Z = (X - μ)/σ
Z = (115 - 91)/6
Z = 4
Therefore, the required z-score of the given normal distribution is 4.
Know more about the z-score here:
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