This means that x =57 is 0.19 standard deviations (–0.19σ) below or to the left of the mean μ = 59.
What is Normal Distribution ?
In a perfect Normal Distribution , the mean is 0 and standard deviation is 1.
It is given that
mean = 59 words/min
standard deviation of 10.5 words per minute
Z score is given by
[tex]\rm Z = \dfrac{X- \mu}{\sigma}[/tex]
Z = (57 - 59 )/10.5
Z = -0.19
The z-score when x=57 is -0.19 ,
This means that x =57 is 0.19 standard deviations (–0.19σ) below or to the left of the mean μ = 59.
To know more about Normal Distribution
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