Question

the mean of a set of data is 5.73 and its standard deviation is 3.44. find the z score for a value of 13.87.
(1 point)
2.61
2.13
2.37
2.67

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 \(x = 13.87\), \(\mu=5.73\), and \(\sigma = 3.44\).

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Step3: Calculate the value of the z - score

\(z=\frac{8.14}{3.44}\approx2.37\)

Answer:

2.37