Any idea why we don’t use significant digits in statistics? Something along the line of we are using estimates so rules about precision don’t apply 😉 ?

**Answer**

Significant digits are used in some fields (I learned about them in Chemistry) to indicate the degree of meaningful precision that exists in a number. This is an important topic in statistics as well, so in fact we report this constantly–we just report it in a different form. Specifically, we report confidence intervals, which indicate the level of precision of an estimate (such as a mean).

Once you’ve listed the 95% CI for an estimate, such as $(-0.12, 1.12)$, you can list as many digits for your mean as you might like, such as $0.50129519823975923$, and there is no problem. In fact, the statistician Andrew Gelman has recommended that you list *at least four* (2009, p. 4).

**Attribution***Source : Link , Question Author : timothy.s.lau , Answer Author : gung – Reinstate Monica*