The z-score for a data value of 19 if the mean of a set of data is 37 and the standard deviation is 8.6 is -2.09
How to determine the z-score of the data value?
From the question, the given parameters about the distribution are
Mean value of the set of data = 37
Standard deviation value of the set of data = 8.6
The actual data value = 19
The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (19 - 37)/8.6
Evaluate the difference of 19 and 37
z = -18/8.6
Evaluate the quotient of -18 and 8.6
z = -2.09
Hence, the z-score for a data value of 19 if the mean of a set of data is 37 and the standard deviation is 8.6 is -2.09
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