variability Flashcards

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1
Q

variability

A

a quantitative measure of the degree to which scores in a distribution are spread out or clustered together

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2
Q

range

A

the difference between the the upper real limit for the maximum score and the lower real limit for the minimum score

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3
Q

interquartile range

A

the distance between the first quartile and the third quartile

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4
Q

semi-interquartile range

A

one-half of the distance between the first quartile and the third quartile

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5
Q

first quartile

A

the score (Q1) that separates the lower 25% of the distribution from the rest

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6
Q

second quartile

A

the score (Q2) that separates the distribution exactly in half; equal to the median

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7
Q

third quartile

A

the score (Q3) that separates the lower 75% of the distribution from the rest

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8
Q

(population) deviation

A

distance a given score in a distribution is from the mean (X - μ)

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9
Q

mean deviation

A

0

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10
Q

population variance

A

mean squared deviation (σ^2 = SS/N)

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11
Q

(population) standard deviation

A

square root of the (population) variance (σ = √(SS/N))

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12
Q

sum of squares

A

(SS) sum of the squared deviation scores; SS = Σ (X - μ)^2

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13
Q

sum of squares computational formula

A

SS = (ΣX^2) - (((ΣX)^2) / N)

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14
Q

(sample) deviation

A

distance a given score in a distribution is from the mean (X - X̄)

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15
Q

sample variance

A

mean squared deviation (s^2 = SS/(n - 1))

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16
Q

(sample) standard deviation

A

square root of the (sample) variance (s = √(SS/(n - 1)))

17
Q

degrees of freedom

A

df = n - 1

18
Q

How many scores in a distribution are free to vary?

A

The total degrees of freedom for the distribution; df = n - 1

19
Q

sample variance related to degrees of freedom

A

s^2 = ((sum of squared deviations)/(number of scores free to vary)) = SS/df = SS/(n - 1)

20
Q

What is the standard deviation?

A

a measure of distance from the mean

21
Q

How do constants affect the standard deviation?

A

changing each score with a constant changes the standard deviation with the same constant

22
Q

Which measure of variability is least affected by extreme scores?

A

semi-interquartile range

23
Q

Which measure of variability is most affected by sample size?

A

range

24
Q

Which measure of variability is least stable under sampling?

A

range

25
Q

Which measure of variability is best for open-ended distributions?

A

semi-interquartile range