Answer:
The z-score is 1.54
Step-by-step explanation:
Given:
x = 54
μ = 42
σ = 7.8
Required:
Z-score
Equation:
[tex] Z\: =\: \frac{x\:-\:μ}{σ} [/tex]
where: Z - standard score
x - value
μ - mean
σ - standard deviation
Solution:
Substitute the value of x, μ and σ
[tex] Z\: =\: \frac{x\:-\:μ}{σ} [/tex]
[tex] Z\: =\: \frac{54\:-\:42}{7.8} [/tex]
[tex] Z\: =\: 1.54 [/tex]
Final Answer:
The z-score is 1.54
