What is a similarity between the empirical rule and chebychev's theorem?

The similarity between the empirical rule and chebychev's theorem is that; They are both used to draw conclusions about a data set and Instead of using mean, they rather make use of standard deviation to reflect the nature of the data set being considered.

The Empirical Rule is simply defined as an approximation that applies only to data sets with a bell-shaped relative frequency histogram.

Now, this empirical rule is used to estimate the proportion of the measurements that fall within one, two, and three standard deviations of the mean.

Meanwhile Chebyshev's Theorem is not restricted only those that are bell shaped but it applies to all possible data sets.

Now, Chebyshev's Theorem and Empirical Rule are similar in the sense that they are both used to draw conclusions about a data set and Instead of using mean, they rather make use of standard deviation to reflect the nature of the data set being considered.

Read more about Chebychevs theorem and empirical rule at; link