Math and Arithmetic

Statistics

Probability

# What are measurements called that fall beyond three standard deviations from the mean?

###### Wiki User

###### 2007-09-23 04:55:17

Measurements. Just because a particular result lies far from the

mean doesn't make it any different. If it's noticeably far from the

"crowd" of all the other measurements, it can be called an outlier.

An outlier isn't necessarily bad, just different. It should be

examined in detail to see if there's something odd about it, but

not discarded out of hand.

## Related Questions

###### Asked in Math and Arithmetic, Statistics, Probability

### What is the measures that fall beyond three standard deviations of the mean called?

You may be referring to the statistical term 'outlier(s)'. Also,
there is a rule in statistics called the '68-95-99 Rule'. It states
that in a normally distributed dataset approximately 68% of the
observations will be within plus/minus one standard deviation of
the mean, 95% within plus/minus two standard deviations, and 99%
within plus/minus three standard deviations. So if your data follow
the classic bell-shaped curve, roughly 1% of the measures should
fall beyond three standard deviations of the mean.

###### Asked in Criminal Law

### When is the burden of proof beyond a reasonable doubt?

The burden of proof is "beyond a reasonable doubt" in all
criminal trials. In civil trials, the burden of proof is either "a
preponderance of the evidence" or "proof by clear and convincing
evidence." The "clear and convincing evidence" standard is called
for in certain types of cases where there is a need for a higher
level of proof than "the preponderance of the evidence" standard.
The "clear and convincing evidence standard is not as heavy as
"beyond a reasonable doubt."

###### Asked in Math and Arithmetic, Statistics

### When computing Standard deviation should you eliminate the extreme values?

Generally not without further reason. Extreme values are often
called outliers. Eliminating unusually high values will lower the
standard deviation. You may want to calculate standard deviations
with and without the extreme values to identify their impact on
calculations. See related link for additional discussion.

###### Asked in Statistics, Mathematicians

### What is Chebyshev's theorem?

Ok so basically the chebyshev's theorem states that 75% of your
data will lie within 2 standard deviations of the mean and that 89%
of your data will lie within 3 standard deviations of the mean. And
I believe that this theorem is much more precise than the Empirical
Rule, which assumes normality and can be off.
I am currently taking a stats. class if I didn't help or my
wording is unclear please let me know. Also any information here
was obtained or learned from the book called Elementary Statistics
by Mario F. Triola