Just recently Transparency International released its Corruption Perception index. The index used scoring from multiple sources. In case of Pakistan it takes 8 different sources and the avg. score in 2019 is 32.04 with SD 2.46 while in 2018 the avg. score was 33 with SD 2.06.
The change in average overall score from 2018 to 2019 is 1.00. But suppose that the change of scoring of individual 8 sources varies with an average of 0.83 and SD is 6.87.
Is this change (2018 to 2019 is 1.00) significant when change in 8 individual sources has a SD 6.87???
In this case, are the individual 8 sources consistent?
According to Ramsay
The standard deviation is a commonly used statistic, but it doesn’t often get the attention it deserves. Although the mean and median are out there in common sight in the everyday media, you rarely see them accompanied by any measure of how diverse that data set was, and so you are getting only part of the story. In fact, you could be missing the most interesting part of the story.
Without calculating standard deviation, you can’t get a handle on whether the data are close to the average (as are the diameters of car parts that come off of a conveyor belt when everything is operating correctly) or whether the data are spread out over a wide range.
Surveys on corruption are based on perceptions. At each time, there are a set of circumstances that may inform significant changes in perception. They vary from time to time
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