A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,
[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]
Hence, the z-score of a person who scored 470 on the exam is 0.8.
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