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What is the equivalent of $\sigma$ confidence limits for a normal distribution (68–95–99.7 %) on a gamma distribution ? …

The 68–95–99.7 rule is a convenient way of quickly getting an overview of the spread of some normally distributed data. I am wondering if there is an equivalent rule in the multivariate case? …

What are the relation between mean and standard deviation with the 68–95–99.7% upper limits on a half gaussian distribution ? …

But if the binomial distribution would be the normal distribution I could apply the 68-95-99.7 rule. …

When I simulate the creation of 10,000 points in a spatial normal distribution, nearly all data fall within 2 standard distances of the mean (far more than the expected ~95%). … From my understanding, points following a spatial normal distribution also follow the 68-95-99.7 rule with respect to standard distance (source). What's going on? …

I understand the 68–95–99.7 rule. However, I want to confirm (and if any reference please) if the same rule applies to the Skewed curves as well. Please see the attached diagram. … In figure 2 (For Access link), can I implement the 68–95–99.7 rule to find where does 95% data lies, and will it be statistically correct? …

Suppose I have a data which has 90% values in $\pm 1 \sigma$ range, 98.8% values in $\pm 2 \sigma$ range and 99.9% values in the $\pm 3 \sigma$ range. Can I refute that this data is distributed normal …

In a normal distribution, the 68-95-99.7 rule imparts standard deviation a lot of meaning, but what would standard deviation mean in a non-normal distribution (multimodal or skewed)? … Do we have rules like the 68-95-99.7 one for non-normal distributions? …

Where do the 68 - 95 - 99.7 percentages come from? Is it simply just an observed probability for most normal distributions? …

Any rule like "68–95–99.7 rule" for non-normal data? …

I read about the 68-95-99.7 rule that shows I also read that a Z value of 1.96 gives a confidence level of 95% Is it correct to think of Z as the "number of standard deviations" ? …

As you know we have 68–95–99.7 rule in normal distribution. Can we have something like this in this distribution? Thanks. …

We also know that 99% of values fall within 3 standard deviations from the mean in a normal probability distribution (see 68 95 99.7 rule). …

(b) The 68-95-99.7 rule says that $\bar x$ should be within µ ± 2σ about 95% of the time. (c) The central limit theorem states that for large n, µ is approximately Normal. …

If one wishes to find outliers only, can't regression analysis be skipped by using methods like 68–95–99.7 rule? …