Home > Statistics > The Standard Normal Distribution

A z score of +1.6 represents a value how many standard deviations above the mean?

Answer 1

#Z# score of #+1.6# represents a value #+1.6# times standard deviations above the mean.

A #Z#-score is calculated as #(x-mu)/sigma#, where #mu# is mean and #sigma# is standard deviation. Such a score assumes that the distribution is normal.

It is apparent that if a value #x# is at mean, its #Z# score is #0#. and any value above it gives a positive #Z# and a value below mean indicates negative #Z#. Further as #x=mu+zsigma#, indicates that for a particular #Z#-score, if it is positive it is #zxxsigma# (i.e. #Z#-score times standard deviation) above or if it is negative it is #zxxsigma# below mean,

As such, #Z# score of #+1.6# represents a value #+1.6# times standard deviations above the mean.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Madeline Adams

A z-score of +1.6 represents a value that is 1.6 standard deviations above the mean.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.