Answer: 1.2
Step-by-step explanation:
Let x be a random data value that follows a normal distribution.
The formula to find the z-value :-
[tex]z=\dfrac{x-\mu}{\sigma}[/tex], where [tex]\mu[/tex] is the population mean and [tex]\sigma[/tex] is the standard deviation.
Given : A data value has a Z-value equal to 1.2.
Then, we have
[tex]z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.2=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ x-\mu=1.2\sigma\\\\\Rightarrow\ x=\mu+1.2\sigma[/tex]
Hence, the data value is 1.2 standard deviations from the mean.
Answer:
1.2
Step-by-step explanation:
the number of standard deviations that the data value is away from the mean is 1.2 standard deviations, and thats because the units of the Z values are standard deviations.
if you remember the Z value formula is (X - mean) / SD, you are subtracting the X (data value) from the mean, and then dividing by standard deviations to get the number of standard deviations that the data value is away from the mean
if the Z value is positive that means that the data value is above from the mean.
if the Z value is negative that means that the data value is below from the mean
