Answer:
The standard deviation is 6
Step-by-step explanation:
The scores of a given test were normally distributed with a mean of 82.
[tex]\mu = 82[/tex]
James received a 67 with a z-score of -2.5
Z score = -2.5
[tex]\bar{x}=67[/tex]
Formula :[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]-2.5=\frac{67-82}{\sigma}[/tex]
[tex]\sigma = \frac{67-82}{-2.5}[/tex]
[tex]\sigma =6[/tex]
Hence The standard deviation is 6
