Summary

Summary Formula Sheet Statistics (BT1111) 26th Dec 2022

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Course
STAT 2800U

Institution
Vrije Universiteit Amsterdam (VU)

Scripting Statistics: Term Meaning Population Formula Sample Formula Example {1,16,1,3,9} Sort values in increasing order {1,1,3,9,16} Mean Average N X N i  i   1  n X n X X ... X X n i i n        1 2 1 6 Median The middle value – h...

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Uploaded on December 26, 2022
Number of pages 14
Written in 2022/2023
Type Summary

formula sheet statistics
statistics
summary formula sheet statistics
formula sheet statistics bt1111
summary formula sheet statistics bt1111

Institution
Vrije Universiteit Amsterdam (VU)
Education
Statistics formula sheet
Course
STAT 2800U

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Statistics Cheat Sheets

Descriptive Statistics:
Term Meaning Population Formula Sample Formula Example
{1,16,1,3,9}
Sort Sort values in {1,1,3,9,16}
increasing order
Mean Average N n 6
 Xi X 1  X 2  ...  X n
 Xi
i 1 i 1
 X 
N n n
Median The middle value 3
– half are below
and half are above
Mode The value with the 1
most
appearances
Variance The average of (1-6)2 + (1-6) 2 +
 X i  X 
n
1 N 2
the squared 2   X i   2 (3-6)2 + (9-6)2 +
N i 1 i 1
deviations s2  (16-6)2 divided by
n1
between the 5 values = 168/5
values and the = 33.6
mean
Standard The square root of   2 Square root of
 X i  X 
n
2
Deviation Variance, thought 33.6 = 5.7966
i 1
of as the s  s2 
“average” n1
deviation from the
mean.
Coefficient The variation s 5.7966 divided by
CV 
of relative to the X 6 = 0.9661
Variation value of the mean
Minimum The minimum 1
value
Maximum The maximum 16
value
Range Maximum minus 16 – 1 = 15
Minimum

Probability Terms:
Term Meaning Notation Example* (see footnote)
Probability For any event A, probability is represented within 0  P() 0.5
P 1.
Random A process leading to at least 2 possible outcomes Rolling a dice
Experiment with uncertainty as to which will occur.
Event A subset of all possible outcomes of an experiment. Events A and B
Intersection of Let A and B be two events. Then the intersection of AB The event that a 2
1137

, Statistics Cheat Sheets

Events the two events is the event that both A and B occur appears
(logical AND).
Union of Events The union of the two events is the event that A or B AB The event that a 1, 2, 4, 5
(or both) occurs (logical OR). or 6 appears
Complement Let A be an event. The complement of A is the event A The event that an odd
that A does not occur (logical NOT). number appears
Mutually A and B are said to be mutually exclusive if at most A and B are not mutually
Exclusive one of the events A and B can occur. AB=0 exclusive because if a 2
Events appears, both A and B
occur
Collectively A and B are said to be collectively exhaustive if at A and B are not
Exhaustive least one of the events A or B must occur. collectively exhaustive
Events because if a 3 appears,
neither A nor B occur
Basic Outcomes The simple indecomposable possible results of an Basic outcomes 1, 2, 3, 4,
experiment. One and exactly one of these outcomes 5, and 6
must occur. The set of basic outcomes is mutually
exclusive and collectively exhaustive.
Sample Space The totality of basic outcomes of an experiment. {1,2,3,4,5,6}
* Roll a fair die once. Let A be the event an even number appears, let B be the event a 1, 2 or 5 appears

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Summary Formula Sheet Statistics (BT1111) 26th Dec 2022

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