Statistics: Introduction
Population vs Sample
The population includes all objects of interest whereas the sample is only a
portion of the population. Parameters are associated with populations and
sta
Stats: Measures of Variation
Range
The range is the simplest measure of variation to find. It is simply the highest
value minus the lowest value.
RANGE = MAXIMUM - MINIMUM
Since the range only uses th
Stats: Measures of Central Tendency
The term "Average" is vague
Average could mean one of four things. The arithmetic mean, the median,
midrange, or mode. For this reason, it is better to specify whic
Statistics: Grouped Frequency Distributions
Guidelines for classes
1. There should be between 5 and 20 classes.
2. The class width should be an odd number. This will guarantee that the
class midpoints
Stats: Measures of Position
Standard Scores (z-scores)
The standard score is obtained by subtracting the mean and dividing the
difference by the standard deviation. The symbol is z, which is why it's
Stats: Counting Techniques
Fundamental Theorems
Arithmetic
Every integer greater than one is either prime or can be expressed as an unique
product of prime numbers
Algebra
Every polynomial function on
Stats: Binomial Probabilities
Binomial Experiment
A binomial experiment is an experiment which satisfies these four conditions
A fixed number of trials
Each trial is independent of the others
There ar
Stats: Probability Distributions
Probability Functions
A probability function is a function which assigns probabilities to the values of
a random variable.
All the probabilities must be between 0 and
Stats: Conditional Probability
Conditional Probability
Recall that the probability of an event occurring given that another event has
already occurred is called a conditional probability.
The probabil
Stats: Introduction to Probability
Sample Spaces
A sample space is the set of all possible outcomes. However, some sample
spaces are better than others.
Consider the experiment of flipping two coins.
Intro to statistics I class notes 1/14/13
Chapter 1 Statistics Success Stories and Cautionary Tales
1.1- What is statistics?
1.1.1. Statistics: Numerical facts. Example: Advertisements, sport stats, u