Question

save the problem, round results to the nearest hundreth. the mean of a set of data is 0.09 and its standard deviation is 3.88 find the z score for a value of 3.25

Explanation:

Step1: Recall the z - score formula

The formula for the 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

We are given that \(x = 3.25\), \(\mu=0.09\), and \(\sigma = 3.88\).
Substitute these values into the formula: \(z=\frac{3.25 - 0.09}{3.88}\).
First, calculate the numerator: \(3.25-0.09=3.16\).
Then, divide by the standard deviation: \(z=\frac{3.16}{3.88}\approx0.81\).

Answer:

\(0.81\)