Measures of Central Tendency Notes
The three measures in common use are the:
Average
Median
Mode
Average
There are three different techniques available for calculating
the average three measures in common use are the:
Ungrouped data
Grouped data
Weighted
Illustrating the Addition Rule Notes
Suppose that a pair of fair dice are thrown.
a)
Let E=rolling a seven, compute the probability of rolling a
seven, i.e., P(E).
b) Let E=rolling a two (called snake eyes), compute the
probability of rolling snake eyes,
Computing Probability Using the Empirical Method Notes
The probability of an event E is approximately the number of
times event E is observed divided by the number of repetitions of
the experiment.
EXAMPLE
Probabilities
Using Relative Frequencies to Appro
Definition of Independent Events Notes
Two events E and F are independent if and only if
P(F | E) = P(F) or P(E | F) = P(E)
EXAMPLE
Illustrating Independent Events
The probability a randomly selected murder victim is male is
0.7515. The probability a rand
Frequency Distribution Notes
Ungrouped Data
Grouped Data
There are three types of frequency distributions
Categorical frequency distributions
Ungrouped frequency distributions
Grouped frequency distributions
Categorical
Categorical frequency distributions
Addition Rule for Mutually Exclusive Events Notes
If E and F are mutually exclusive events, then
P(E or F) = P(E) + P(F)
In general, if E, F, G, are mutually exclusive events, then
P(E or F or G or ) = P(E) + P(F) + P(G) +
Events E and F are Mutually Exc
Probability of Simple Events Notes
Probability is a measure of the likelihood of a random
phenomenon or chance behavior. Probability describes the longterm proportion with which a certain outcome will occur in
situations with short-term uncertainty.
EXAMP
Constructing of a Histogram Notes
The Histogram
The histogram is the most important graphical tool for
exploring the shape of data distributions.
Check: http:/quarknet.fnal.gov/toolkits/ati/histograms.html
for the construction ,analysis and understanding
Measures of Dispersion Range Notes
The range is the simplest and easiest to calculate of the
measures of dispersion.
Range = R = Xh - Xl
Largest value - Smallest value in data set
Measures of Dispersion-Standard Deviation
Sample Standard Deviation:
Standa
Illustrating the Complement Rule Notes
The data on the following page represent the travel time to work
for residents of Hartford County, CT.
(a) What is the probability a randomly selected resident has a
travel time of 90 or more minutes?
(b) What is the
Properties of Probabilities Notes
1.
The probability of any event E, P(E), must be between 0 and
1 inclusive. That is,
0 < P(E) < 1.
2. If an event is impossible, the probability of the event is 0.
3. If an event is a certainty, the probability of the eve
Computing at least Probabilities Notes
Definition of Statistics Notes
1.
A collection of quantitative data pertaining to a subject
or group. Examples are blood pressure statistics etc.
2.
The science that deals with the collection, tabulation,
analysis, i