week 5 analysis of data Flashcards

1
Q

what is variance

A

how much the data is spread from the mean

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2
Q

does a spread out graph have a small or large standard deviation

A

higher sd

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3
Q

does a small and tall graph have a small or large standard deviation

A

low sd

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4
Q

if all values in a data set are the same, what is the standard deviation

A

0

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5
Q

`what do z scores measure

A

how many standard deviations they are away from the mean

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6
Q

what is included in box plot

A
  1. min
  2. 1st quartile
  3. median
  4. 3rd quartile
  5. max
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7
Q

if mean is greater than the median how is the data skewed

A

right skewed

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8
Q

if the mean is the same as the median how is the data skewed

A

symmetrical

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9
Q

if the mean is less than the median how is the data skewed

A

left skewed

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10
Q

what is discriptive analysis

A

describes the sample not the population

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11
Q

what are parameters

A

summary measures describing the a population

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12
Q

according to the empericcal rule what percent of the data lies within 1 sd of the mean

A

68%

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13
Q

according to the emperical rule what percentage of the data lies within 2 sds of the mean

A

95%

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14
Q

according to the emperical rule what percentage of the data lies within 3 sds of the mean

A

99.7%

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15
Q

what is chebyshevs rule

A

no matter how the data is distributed at least (1-1/k^2)x100% of the values fall within k standard deviatons of the mean

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16
Q

what can scatter plots allow us to see

A

visually represent the relationship between 2 numerical values

17
Q

what does covarience measure

A

strength of relationship between two numerical values

18
Q

if cov(x,y) > 0 what direction are x and y going in relation to eachother

A

in the same direction

19
Q

if cov(x,y) < 0 what direction are x and y going in relation to eachother

A

in opposite directions

20
Q

if cov(x,y) = 0 what direction are x and y going in relation to eachother

A

are independent

21
Q

what is the coefficient of correlation

A

measures strength of relationships between two numerical values

22
Q

if the correlation coefficient is close to 1 what does that tell us about the relationship between x and y

A

strong positive relationship

23
Q

if the correlation coefficient is close to -1 what does that tell us about the relationship between x and y

A

strong negative relationship

24
Q

if the correlation coefficient is close to 0 what does that tell us about the relationship between x and y

A

weak linear relationship

25
Is the mean effected by extreme outliers
yes
26
is the median effected by extreme outliers
no
27
can mode be used in categorical data
yes
28
what is the geometric mean
rate of change in a variable over time
29
what is the geometric mean rate of return
measures the status of an investment overtime
30
what does skewness measure
Skewness measures the extent to which the data values are not symmetrical around the mean.