Higher Concepts of Mathematics
STATISTICS
STATISTICS
This chapter will cover the basic concepts of statistics.
EO 1.1
STATE the definition of the following statistical terms:
a.
Mean
b.
Variance
c.
Mean variance
EO 1.2
CALCULATE the mathematical mean of a given set of
data.
EO 1.3
CALCULATE the mathematical mean variance of a
given set of data.
EO 1.4
Given the data, CALCULATE the probability of an
event.
In almost every aspect of an operator’s work, there is a necessity for making decisions resulting
in some significant action. Many of these decisions are made through past experience with other
similar situations. One might say the operator has developed a method of intuitive inference:
unconsciously exercising some principles of probability in conjunction with statistical inference
following from observation, and arriving at decisions which have a high chance of resulting in
expected outcomes. In other words, statistics is a method or technique which will enable us to
approach a problem of determining a course of action in a systematic manner in order to reach
the desired results.
Mathematically, statistics is the collection of great masses of numerical information that is
summarized and then analyzed for the purpose of making decisions; that is, the use of past
information is used to predict future actions. In this chapter, we will look at some of the basic
concepts and principles of statistics.
Frequency Distribution
When groups of numbers are organized, or ordered by some method, and put into tabular or
graphic form, the result will show the "frequency distribution" of the data.
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