Panic Flashcards
Measures of central location
mean median and mode
Measures varibility
Range and standard deviation
Measures of position
percentiles, ranks, and Z-scores
standard deviation (sample)
sqrt(sum of (x-xbar)^2/(n-1))
or
sqrt(sum of (x^2)-(1/n) (sum of (x))^2 all dividied by (n-1))
standard deviation (population)
sum of (x-xbar)^2/(n)
calculate position of percentile
position = (percentile/100) times population size
find percintile rank
num of vaules below or equal to 6 divided by total number of vaules
five number summary
min q1 q2 q3 max
IQR
q3 - q1
z scores
x-avergare/deviation
z scores to vaule
average + zscore times standard deviation
empirical rule
1 SD = 34 + 34
2 SD = 1SD + 13.5 + 13.5
3 SD = 2SD + 2.35 + 2.35
4 SD = 3SD + 0.15 + 0.15
chebsehv
1 SD = unkown
2 SD = 3/4
3 SD = 7/8
4 SD = 1- 1/(standard deviation^2)
sample space
set of all possible outcomes
an event
a subset of sample space
rules of probability
always between 0 and 1
sum of all probabilities = 1
complements
1- probability of event = evetn compliment
Intersect of events A and B
prob(A) times prob(B)
Union of events A nd B
Prob (A) + Prob (B) - Intersect of events A and B
Mutual exclusive events
Intersect of events A and B = 0
Conditional events P (A|B)
Intersect of events A and B / P(B)
Independant events
Intersect of events A and B = P(A) time P (B)
Sampling with replacement
The randomly selected unit is returned to the population after being selected. When
sampling with replacement, it is possible for the same unit to be sampled more than
once.
Sampling without replacement
the randomly selected unit is not returned to the population after being selected.
When sampling without replacement, it is not possible for the same unit to be
sampled more than once
Mean of discrete probability distributions
sum of (x times p(x))
SD of discrete probability distributions
(discrete probability distributions are always with populations)
sqrt ( sumof (x-average)^2 * P(x))
binomial distribution
(n/x)p^x*q^(n-x)
n/x
n!/(x!(n-x)!)
what is x
ammount of succes
what is n
ammount of trials
what is p
succes rate
what is q
failure rate
binomial distribution average
P time Q
binomial distribution SD
N time P times Q