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STAT 203
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Jay Healey
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Statistics

STAT 203

Jay Healey

Spring

Description

Chapter 1 + 1.5 x IQR
Sample Mean + 1.5 x IQR
-ADD values and DIVIDE by # of observations
x +x +x +….+.x
x 1 2 3 n ----------------------------------------------------------------------------------------------------------
= n Five-Number Summary
-consists of: Minimum Q1 Median Q 3 Maximum
-means are "sensitive" to "outliers"
Empirical Rule (68, 95, 99.7)
Sample Median
68% = the mean + (1 x standard deviation)
= the mean - (1 x standard deviation)
-if # of observations is ODD - median is "center observation" in ordered list
th 95% = the mean + (2 x standard deviation)
( +1) = the mean - (2 x standard deviation)
2
99.7% = the mean + (3 x standard deviation)
= the mean - (3 x standard deviation)
-if # of observations is EVEN - median is "midway" between the 2 center
observations --------------------------------------------------------------------------------------------------------
th Mutually Exclusive
n -when 2 events (A and B) are "impossible" to happen together
(2) -PROBABILITY of A or B is the "sum" of individual properties
---------------------------------------------------------------------------P(A or B) = P(A) + P(B) → P(A--- B) = P(A) + P(B)
Quartiles
∪ ∪
→ symbol for "or" : P(A B) = 20% + 15% = 35%
Q1 = 25% = n x 0.25
∩ → symbol for "and" : P(A∩ B) = 0
Q
3 = 75% = n x 0.75
Not Mutually Exclusive
Q2
= 50% A or B is the "sum" of A and B MINUS A and B
P(A or B) = P(A) + P(B) - P(A and B)
IQR - Interquartile Range
Q Q -----------------------------------------------------------------------------------------------------
-the distance between 1 and 3 Chapter 14
Q Q x
IQR = 3 - 1 Standard Error - standard deviation of a statistic (average error when utong
(1.5 x IQR) - if observation falls MORE or LESS than 1.5 x IQR = potential estimate μ α s
-in general, 100(1- )% of the sample mean falls in the interval s12 22
√ n + n2

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