STAT 2300 3.4-.5

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measures of position

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22 Terms

1

measures of position

Measures that determine the position of a single value in relation to other values in a data set. Quartiles, percentiles, and percentile rank are examples of measures of position.

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2

z-scores

measure the distance of a score from the mean in units of standard deviation

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3

positive

if the data value is larger than the mean it is a _____ z-score

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4

negative

if the data value is smaller than the mean it is a _____ z-score

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5

Percintile

breaks observation into 100 parts

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6

Z = (X - μ) / σ

z score formula

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7

-1 and 1

68%

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8

-2 and 2

95%

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9

-3 and 3

99.7%

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10

quartiles

Values that divide a data set into four equal parts

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11

first quartile

25th percentile

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12

second quartile

the median of the entire data set

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13

third quartile

the median of the upper half of the data set

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14

Interquartile Range (IQR)

Q3-Q1, the middle 50% of the data, resistant

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15

Q1-1.5(IQR)

lower fence

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16

Q3 + 1.5(IQR)

upper fence

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17

median and IQR

are better measures of center and spread for skewed distributions.

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18

mean and standard deviation

are better measures of center and spread for relatively symmetric distributions.

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19

five number summary

minimum, Q1, median, Q3, maximum

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20

Boxplot

A graph of the five-number summary., number line, box from lower quartile Q1 to upper quartile Q3, line at median, line to smallest and largest (not outliers)

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21

whiskers

Lines from the min to Q1 and from Q3 to the max

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22

outliers

are marked w asterisk

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