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A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score

Sagot :

HannahPanda

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

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