Respuesta :
Answer:
Mean B =μ= 7
Standard Deviation =A=σ ≈ 3.522
Variance =σ²=12.405
X=Score=Data Point=11.7
[tex]As, Z=\frac{X- B}{A}[/tex]
z-score for the Score 11.7
[tex]=\frac{11.7-7}{3.522}\\\\=\frac{4.7}{3.522}\\\\Z=1.3344[/tex]
The z-score is defined as the mean (average) values, measured in terms of standard deviations from the mean.
The value of the z-score is 1.33.
What is a z-score?
The z-score is defined as the mean (average) values, measured in terms of standard deviations from the mean.
The formula is used to calculate z-score is;
[tex]\rm z-score=\dfrac{X-\mu}{\sigma}[/tex]
Where the value of mean = 7 and σ =3.522 and X is 11.7.
Substitute all the values in the formula;
[tex]\rm z-score=\dfrac{X-\mu}{\sigma}\\\\\rm z-score=\dfrac{11.7-7}{3.52}\\\\\rm z-score=\dfrac{4.7}{3.52}\\\\\rm z-score=1.33[/tex]
Hence, the value of the z-score is 1.33.
To know more about z-score click the link is given below.
https://brainly.com/question/13299273
