Question

What is summarization of a data set? Why is it important?

Answer 1

Summarization:-

In descriptive statistics, a method used to visualize a set of observations, in order to communicate the largest amount of information as simply as possible.

commonly way to describe the observations in

• a measure of location, or central tendency, such as the arithmetic mean
• a measure of statistical dispersion like the standard mean absolute deviation
• a measure of the shape of the distribution like skewness or kurtosis
• if more than one variable is measured, a measure of statistical dependence such as a correlation coefficient

A common collection of order statistics used as summary statistics are the five-number summary, sometimes extended to a seven-number summary, and the associated box plot.

Entries in an analysis of variance table can also be regarded as summary statistics

Importance:

we summarize data to "simplify" the data and quickly identify what looks "normal" and what looks odd. The distribution of a variable shows what values the variable takes and how often the variable takes these values.

The two most useful ways of describing the distribution of data are:

1. The typical: This describes the center--or middle--of the data. This way of describing the center is also called a "measure of central tendency".
2. The spread of the values around the center: This describes how densely the data is distributed around the center. This is also called a "measure of dispersion".

These two ways of describing the data are also referred to as descriptive statistics.

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