Answer: 87.9675
Step-by-step explanation:
Formula for z:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex], where x= data value corresponding to z, [tex]\mu[/tex] = mean, [tex]\sigma[/tex] = standrad deviation.
Given: [tex]\mu[/tex] =85.3, [tex]\sigma[/tex] =4.85, z=0.55
To find : x
[tex]0.55=\dfrac{x-85.3}{4.85}\\\\\Rightarrow\ 0.55\times4.85=x-85.3\\\\\Rightarrow\ 2.6675=x-85.3\\\\\Rightarrow\ x=85.3+2.6675\\\\\Rightarrow\ x=87.9675[/tex]
Hence, The required data value= 87.9675
