In: Statistics and Probability
How we can use descriptive statistics for quantitative data analysis? Describe detailed calculation with an example of survey data.
Answer:- Descriptive statistics are used to describe the basic features of the data in a study. They provide simple summaries about the sample and the measures. Together with simple graphics analysis, they form the basis of virtually every quantitative analysis of data
Descriptive statistics are typically distinguished from inferential statistics. With descriptive statistic you are simply describing what is / what the data shows. With inferential statistics, you are trying to reach conclusions that extend beyond the immediate data is alone. For instance we use inferential statistics to try to infer from the sample data what the population might think. we use inferential statistics to make judgments of the probability that an observed difference between groups is a dependable one or one that might have happened by chance in this study. Thus we use inferential statistics to make inferences from our data to more general conditions; we use descriptive statistics simply to describe what’s going on in data.
Example :-
the sum of the following data set is 20: (2, 3, 4, 5, 6). The mean is 4 (20/5). The mode of a data set is the value appearing most often, and the median is the figure situated in the middle of the data set. It is the figure separating the higher figures from the lower figures within a data set. However, there are less-common types of descriptive statistics that are still very important.
A student's grade point average (GPA), for example, provides a good understanding of descriptive statistics. The idea of a GPA is that it takes data points from a wide range of exams, classes, and grades, and averages them together to provide a general understanding of a student's overall academic abilities. A student's personal GPA reflects his mean academic performance.