What is the definition of statistically?

Answer 1

Statistical weight is a quantity that indicates the importance of an element or object in a study usually used in average calculations.

Answer 2

In the way of statistics.

Answer 3

Statistics is the science of making effective use of numerical data relating to groups of individuals or experiments.

A poll is a good example of the use of statistics. Take for example company X wants too find out what majority uses their products the most, so they poll several groups, which depending on the company may be, age, ethnic background, etc. Say they poll groups A, B, C, & D. Let's say they receive the following information that the percentage of persons in each group uses their products.

Group A 75%

Group B 45%

Group C 95%

Group D 25%

Now company X can proceed to decide how to better their product, perhaps they choose to focus on Group D and figure out a way to attract more business from that group while still keeping their strongest groups A & C satisfied.
There are a number of definitions of statistics. There is one definition that relates to the field of statistics, as: A collection of methods for planning experiments, obtaining data and then organizing, summarizing, presenting, analyzing, interpreting and drawing conclusions based on data. (Ref 1) There is a second definition, statistics is the plural of statistic, where statistic is defined as: A statistic is a numerical measurement describing some characteristic of a sample. (Ref 1) Finally, a third definition, that can be called the "mathematical or conceptual statistic", used by mathematicians and others to develop equations. If X 1, X2, ... Xn is a random sample of a random variable, then the sample are elements of the random variable. A statistic is any function of the elements of a random sample. (Ref 2) I would add when the word "statistics" is used, most of the time they are referring to data related statistics (definitions 1 and 2) and not mathematical statistics. References: 1. Elementary Statistics by Triola (2003). 2. Introduction to Probability Theory and Statistical Inference, by Larson (1974).