
The data on the graph shows the varying numbers ranging from 1-9 that states the different leading coefficients observed in datas that uses quantifiable measure. This set of numbers was collected from different TikTok videos, specifically the number of likes in each one. Collecting the data was done through scrolling through the videos and recording the number of likes from each one. Tiktok is a social platform that uses numbers to show how many likes a video has. Since most videos are short, people often watch them completely, which results in a higher numbers of likes. Tiktok is also accessible and it is easy to switch from one video to another, making it more efficient to collect data.
Benford’s Law entails that 30% of data collected consists of numbers that starts with 1 and only 5% of numbers consists of 9 as the leading coefficients. The law further states that as the number increases from 1-9 there would be a decrease in how often it is seen in records or graphs. Despite these claims, there are certain things that remains tentative. For instance, the data above does not follow the rule that as numbers increase, the amount of times it is seen in graphs decreases. Besides number 1, there were more numbers with the 2 & 4 than the other numbers as the leading coefficients. From this records, it is evident that Benford’s Law is applicable to most data to an extent.
Most numerical datas uses numbers and graphs which accounts for their similar outcomes. However, with these similarities, there are also differences between all these data. Often times, numbers of data influenced by humans through biased selection or results from a limited process can be different from other datas collected from companies which usually follows Benford’s Law.
Although Benford’s Law is mostly used in corporate companies, it is used in anything that produces a series of numbers which would create a data set, often laid out in graphs. In most cases, Benford’s Law is used to identify any fraud or inaccuracies in datas by looking for changes in a graph. However, it is also used in various financial statements, lab results, forensics, cryptography, and security aspects. All of these subjects uses an accumulation of numbers to form a graphable data which mean that Benford’s Law would apply. Logarithms is a crucial aspect of Benford’s Law. Since it is most often used in larger companies to detect discrepancies in a data set, the numbers in these data as presumably large. The use of logarithms helps with working with a series of large numbers, as it increases and decreases by 10. There is also a given formula that determines the probability of how often a number would be the first digit in a series of number. Overall, logarithms aids in explaining Benford’s Law and helps with carrying out to prove it over again efficiently.