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dalvyx [7]
3 years ago
6

A given data value has a Z-value equal to 1.2. Assuming a normal (i.e., symmetrical) continuous probability distribution, how ma

ny standard deviations is the data value from the mean?
Mathematics
2 answers:
Alla [95]3 years ago
6 0

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

Romashka-Z-Leto [24]3 years ago
3 0

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 :-

z=\dfrac{x-\mu}{\sigma}, where \mu is the population mean and \sigma is the standard deviation.

Given : A  data value has a Z-value equal to 1.2.

Then, we have

z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.2=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ x-\mu=1.2\sigma\\\\\Rightarrow\ x=\mu+1.2\sigma

Hence, the  data value is 1.2 standard deviations from the mean.

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