Question

find the z - score for 62 given a mean of 30 and a standard deviation of 20.

Explanation:

Step1: Write the formula for z - score

The formula for z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

Here, \(x = 62\), \(\mu=30\), and \(\sigma = 20\). So, \(z=\frac{62 - 30}{20}\).

Step3: Calculate the numerator

\(62-30=32\). Then the formula becomes \(z=\frac{32}{20}\).

Step4: Simplify the fraction

\(\frac{32}{20}=1.6\).

Answer:

\(1.6\)