BIOL 243 Study Guide - Final Guide: Quartile, Bernoulli Trial, Binomial Coefficient

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25 Aug 2016
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Week 2:
Mean:
or n, is the Total number of data points in the
sample
, is the sample data point
, is the sum
Median: , if n odd , if n is even
Average of the two values beside middle value
Y, is the i-th value
Variance:
, Difference of (data point-mean)
n, number of data points
, variance =Average of squared deviation
Standard deviation: s=
Quartile:
Q1= Middle value of the lower half of the median
(lower quartile)
Q2= essentially the middle (odd set) or the average of
the two middle values (even set)
Q3= Middle value of the upper half of the median
(upper quartile)
Interquartile range (IRQ):
Q3-Q1= IRQ
Effect size: (Difference between samples)
(Ratio between samples)
Week 2:
Example: 1,2,3,4,5,6,7,8,9,
= = =5
Sort data from lowest to highest for median!
Example: 1,2,3,4,5,6
S2= (3-)= (3-0.7=0.46
s=
Example: 1,2,3,4,5,
Median====3
Q1= ==1.5
Q3=
IRQ= Q3-Q1=4.5-1.5=3
Week 4:
Sample space: S
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Event: A
Probability of ‘A’: P (A)
Addition Rule: P (A or B) = P (A) + P (B)
Multiplication Rule: P (A and B) = P (A) P (B)
‘Not’ Rule: P (not A) = 1-P(A)
Binomial coefficient:
n, number of trials
x, number of successes
Distribution of Bernoulli trials:
b(x; n, p) = p(X=x) = (1-p) n-x
p, is the probability
(1-p) n-x, probability of getting x successes in n
trials
Mean Distribution: (Probably not used much in this
course)
Discrete Numerical: µ=
Continuous Numerical: µ=
µ, is the mean/ Expected value
xi, number of success
pi, probability of xi success
Variance of Distribution: (Probably not used much
in this course)
Discrete Numerical: σ =
Continuous Numerical: σ =
Week 4:
Example: Probability of rolling 1 or/and 2 on a 6
sided dice
P ( or) = (
P ( and) = (
P () = (
Example: Number of ways to get 3 heads out of 5 coin flips = 10
If given: b(3,5,0.6)
b(3; 5, 0.6) =P(X=3) = (1-0.6) 5-3
b(x; n, p) = P(X=x) = (0.94) 2
b(x; n, p) = P(X=x) = (0.8836)
P(X=x) =1.91
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