Data Analysis Flashcards

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1
Q

relative frequency

A

occurence

total

(percentage/decimal/fraction)

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2
Q

Scatterplots: how to find the rate of change

A

take points from each end of the trend line (not actual data

change in Y variable

change in X variable

(Y vars per Xs)

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3
Q

Percentiles of the quartiles

A

L

Q1: 25

M/Q2: 50

Q3: 75

G

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4
Q

Range

affected by outliers?

A

Max - min

yes

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5
Q

Interquartile range

A

Q3 - Q1

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6
Q

standard deviation

A

average of the spread from the mean

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7
Q

how to calculate SD

A
  1. Find mean
  2. Find difference between mean and each value
  3. Square those
  4. Find the average of those squares
  5. SD is the non-negative square root of that number
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8
Q

finding how many SDs above/below the mean a number is

A

number - mean = difference

difference/SD = # of SD above mean

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9
Q

How to standardize

what does it show

A

subtract the mean from each value and then divide by the SD

-measures the data position relative to the other points of data

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10
Q

S (upside down u) T

A

intersection

all elements that are in both S and T

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11
Q

S U T

A

union

all in S or T or both

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12
Q

inclusion-exclusion principle

A

|A U B| = |A| + |B| - |A Π B|

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13
Q

multiplication principle

A

1st choice has k possibilities

2nd has m possibilities and is independent from #1

km = the number of possible combinations of the two choices

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14
Q

permutations

A

order matters

n!

(n-k)!

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15
Q

combinations

A

order doesn’t matter

n!

k! (n-k)!

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16
Q

0!

A

1

17
Q

n choose 0

A

1

only one subset with 0 elements (the empty set)

n!

0! n!

18
Q

n choose n

A

1 - the entire set itself

n!

n! 0!

19
Q

Probability that event E will not occur

A

1 - P(E)

20
Q

probability distribution

A

relative frequency

21
Q

normal distributions

A
  1. mean/median/mode are all nearly equal
  2. about 2/3 of data within 1 SD of the mean
  3. almost all data within 2 SD of mean