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STAT 203 (2)
Final

Exam Formulas

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Department
Statistics
Course
STAT 203
Professor
Jay Healey
Semester
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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