prefinal Flashcards
refers to a distortion or asymmetry that deviates from the symmetrical bell curve, or normal distribution. A normal distribution has a skewness equal to one. Zero indicates perfect symmetry.
Skewness
mode < median < mean.
positive skew
mean < median < mode.
negative skew
indicates that the tail of the distribution is more stretched on the side above the mean.
positive skew
ndicates that the tail of the distribution is more stretched on the side below the mean.
negative skew
is a measure of flatness of the distribution. A measure to which a frequency distribution is concentrated about its mean.
kurtosis
Types of Kurtosis:
leptokurtic
mesokurtic
platykurtic
A distribution that is more peaked than the normal distribution. The higher peak results from the clustering of data points along the X-axis. The tails are also fatter than those of a normal distribution. The coefficient of kurtosis is usually found to be more than 0.
- Small range with very peak mode.
leptokurtic
Bell shape with gradual slopecurve is equal to the 3.
mesokurtic
is less than 0.
platykurtic
refers to any activity which generates outcomes.
Experiment
a set of possible outcomes or results of that experiment. It could either be discrete or continuous sample space.
Sample space
contains finite or countable number of sample points.
Discrete sample space-
Consist of a set of real numbers that contains at least one interval.
Continuous sample space-
refers to a subset of a sample space and it is usually denoted by capital letter. It may be either simple or compound.
Event
event containing only one outcome on the sample space.
Simple event
refers to the event that may be expressed as union of two simple events.
Compound event-
is an event consisting of all outcomes of the sample space.
Sure event-
is an event which contains no outcome of the sample space.
Impossible event-
very useful pictorial representation in dealing with relationships and operations involving events.
Proper subset of two events, intersection of two events, union of two events, complement of an event, mutually exclusive event.
Venn Diagram
Refers to a method of finding total sample points in a sample space by listing it systematically.
When attempting to determine the possible outcome from the experiment, it is often helpful to draw a diagram.
Tree Diagram
very useful in writing formulae in permutation and combinations.
“ It is denoted by the symbol n!
Factoral Notation
Refers to an arrangement or ordering of all or parts of a set of objects
Permutation