How To Calculate The Standard Deviation video review
The video titled How To Calculate The Standard Deviation explain how to calculate the standard deviation of a set of numbers. In the video, it is explained the first step is to obtain the mean of the numbers in the set by adding all the numbers and then dividing the sum by the size of the sample numbers in the set. Once the sample man is obtained, it is used to calculate the standard deviation whereby the difference between each value and the obtained mean is squared. After this, the video indicates that a sum of all the squares should be obtained and divided by n minus one where n is the size of the sample, i.e., the total number of individual values in the set. It is also noted that when the difference obtained is negative, upon squaring this will not matter. After summing up all the squares and dividing by n-1, the square root of the quotient is obtained and which is the standard deviation.
While the video tries to explain the concept of standard deviation in a simplistic manner, Pollack’s video titled Chapter 03:Des, statistics take the long route to explain how standard deviation can be obtained. In the video, Pollack demonstrated how the formula for standard deviation is derived through continuous improvement. In the video, considers typical separation among common numbers and explains dispersion from a common-sense standpoint by comparing how far a certain number is from the Pelosi average. Further, in the video, Pollack explains how the long process of finding standard deviation inflates the numbers and thus requiring a reversal through obtaining the square root. While Pollack’s video goes into the deeper details, the other video does not explain any such concepts but rather dives into using the standard deviation formula without explanation of how it is derived.
The video titled Standard Deviation-Explained and Visualized, in my opinion, is the better among the three. The vide not only explains the concepts of standard deviation but also demonstrates these concepts visually. Unlike the other videos which only used numbers without a visual demonstration to help the student understand, this video goes further to demonstrate how standard deviation can be viewed as an either high or low deviation from the mean.