“i had a pretty normal day,” “i have little confidence in our ability to win today,” and “that’s so random! ” are statements you might use in conversation. we use a lot of everyday language to describe situations in statistics. does the use of words that you’re already familiar with, such as normal, confidence, and random, you understand the statistical concepts they describe? explain why or why not.

This is an opinion answer so you may want to change it according to your own take:

Overall, the everyday use of language carries a much broader meaning of these words which usually introduces confusion with respect to understanding their very precise meaning in statistics and probability theory. On the other hand, due to some overlap in meaning, the familiarity may be somewhat helpful with memorizing these terms in statistics.  

The word "normal" in statistics refers to a random variable distributing according to a Gaussian distribution. We hardly mean that when saying "I had a pretty normal day." There is only a very loose connection between them: normal, as in uneventful, ties to the Gaussian distribution in that it is symmetric and quite simple among other things.

The term "confidence" has a much broader meaning in everyday language compared to its sibling in statistics: statistical confidence refers usually to a precisely defined quantile of a distribution expressing variability and uncertainty of a random variable. However both share some meaning in expressing a degree of trust.

The term "random" is probably the most useful when transferred from everyday use to the realm of math. Randomness in statistics implies absence of  pattern and non-repeatability. This aligns quite well with what some people mean by saying "that's so random"

answer: math isn’t just mysterious because the majority of us find it so difficult to understand – it’s also the basis of the universe, giving us clues to physical phenomena like the motion of gases in the atmosphere and the way that physical particles interact with each other amid all the possible variables in three-dimensional space.