Question

A normal distribution has a mean of 85.3 and a standard deviation of 4.85. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = 0.55

Answer 1

Answer: 87.9675

Step-by-step explanation:

Formula for z:

$z=\dfrac{x-\mu}{\sigma}$, where x= data value corresponding to z, $\mu$ = mean, $\sigma$ = standrad deviation.

Given: $\mu$ =85.3, $\sigma$ =4.85, z=0.55

To find : x

$0.55=\dfrac{x-85.3}{4.85}\\\\\Rightarrow\ 0.55\times4.85=x-85.3\\\\\Rightarrow\ 2.6675=x-85.3\\\\\Rightarrow\ x=85.3+2.6675\\\\\Rightarrow\ x=87.9675$

Hence, The required data value= 87.9675