# 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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