How does mean median mode relate to other areas of maths? While there is no requirement for it to be linked to other areas of mathematics, some teachers may choose to give tasks that find the averages of particular data sets. This could include, for example, finding the mean of certain ...
Box 1: The null hypothesis is that does not have COVID. Box 2: The alternative hypothesis is that does have COVID. Box 3: In the absence of any better information, the prior probability of the null hypothesis is , or . Box 4: Similarly, the prior probability of the alternative ...
While reading the (highly recommended) recent popular maths book “How not to be wrong“, by my friend and co-author Jordan Ellenberg, I came across the (important) point that correlation is not necessarily transitive: if correlates with , and correlates with , then this does not imply that...
If it does, then divide the remaining group in half again and repeat the process until you find the culprit. I am reliably informed, but not smart enough to do the maths, that irrespective of the number of plug-ins you have, that you should find the culprit in around 8 moves...
and consequences this could have had for how they saw themselves. Take care to clarify the nature of German Jewry at the beginning of the twentieth century. Jews had lived in the lands known as “Germany” for centuries, but the percentage of the German population who was Jewish at the beg...
Firstly one can consider a “globally quadratically structured” case in which the indicator function “behaves like” a globally quadratic function such as , for some irrational and some smooth periodic function of mean . If one then takes to be uniformly distributed in and respectively for some...
This turns out to significantly cut down on the possible length of a non-decreasing sequence in this regime, particularly if is large; this can be formalized by partitioning the range of into various subintervals and inspecting how this (and the monotonicity hypothesis on ) constrains the v...
, then by partitioning the natural numbers into residue classes modulo , we see that the claim follows from the induction hypothesis; so we may assume that the top coefficient is irrational. In order to use the van der Corput inequality as stated above (i.e. in the formalism of inner prod...