Hi, can we please at least remove the “left-modal” or “right-modal” in the parentheses since most academic examples use modality to talk about the peaks (e.g., unimodal, bimodal, multimodal)?
Example: Negative skewness should not necessarily be called “left-modal” as synonyms, the skewness refers to the OUTLIERS which are usually rare points, whereas the mode are the “peaks” with high frequencies, and academic sources will not exactly say “left-modal” as a synonym for negative skewness, but they can say terms like “unimodal” or “bimodal” or “multimodal” when describing the number of peaks for the shape of the distribution. (The skewness refers to the “tail” parts or the “valley” parts with “rare” or small frequencies.)
Source 1: Chapter 4 Central Tendency and Dispersion | Data Analysis for Leadership & Public Affairs:
Source 2: https://www.stat.cmu.edu/~hseltman/309/Book/chapter4.pdf (See page 8 of 40.)
From Example 2 from Carnegie Mellon University (CMU): on page 8 of 40: “A rarely used measure of central tendency is the mode, which is the most likely
or frequently occurring value. More commonly we simply use the term ‘mode’
when describing whether a distribution has a single peak (unimodal) or two or
more peaks (bimodal or multi-modal). In symmetric, unimodal distributions, the
mode equals both the mean and the median. In unimodal, skewed distributions
the mode is on the other side of the median from the mean. In multi-modal
distributions there is either no unique highest mode, or the highest mode may well
be unrepresentative of the central tendency.”