Answer:
10
Step-by-step explanation:
Given the following parameters
standard deviation σ = 2.5
z-score Z = 2.4
observed value x = 16
Mean of the dataset μ = ?
Using the formula for calculating the z-score as shown to calculate the mean
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
On substituting the values;
[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]
The mean of the dataset is 10
