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Brums [2.3K]
4 years ago
14

The z-score tells you how many standard deviations about the mean a given data value is. Find the z-score in this situation:

Mathematics
1 answer:
Bas_tet [7]4 years ago
6 0

Answer:

Z-score = -1.38

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Z =\frac{X-\mu}{\sigma}

Where

μ is the mean, x is a data of the population and \sigma is the standard deviation

In this case

\mu = 15\ g\\\\\sigma = 1.6\ g\\\\X = 17.2\ g

Then the z-score is

Z = \frac{15-17.2}{1.6}\\\\Z = -1.38

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