Respuesta :
Answer:
The z-score value of the data is -0.838.
Step-by-step explanation:
Given : A mean of 7.6 and a standard deviation of 3.1.
To find : How many standard deviations of the mean do the values 10, 9, 11, 5, and 3 fall?
Solution :
Mean [tex]\mu=7.6[/tex]
Standard deviation [tex]\sigma=3.1[/tex]
Values 10, 9, 11, 5, and 3 i.e. x=5
The z-score value for x=5 is given by
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{5-7.6}{3.1}[/tex]
[tex]z=\frac{-2.6}{3.1}[/tex]
[tex]z=-0.838[/tex]
The z-score value of the data is -0.838.
