Question

Consider a set of data in which the sample mean is 26.826.8 and the sample standard deviation is 7.97.9. Calculate the z-score given that x.

Answer 1

Answer:

The answer is "0.59".

Step-by-step explanation:

Please find the whole question in the attached file.

Given:

$\mu=26.8\\\\\sigma=6.4\\\\X=30.6$

Using formula:

$z=\frac{X-\mu}{\sigma}$

   $=\frac{30.6-26.8}{6.4}\\\\=\frac{3.8}{6.4}\\\\=\frac{380}{640}\\\\=\frac{38}{64}\\\\=\frac{19}{32}\\\\=0.59375\approx 0.59$