Chapter 2 Flashcards

percentile, z-score, empirical rule

1
Q

percentile

A

the percent of data less than or equal to a certain data value

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2
Q

z-score (definition)

A

how many standard deviations a data point is above/below the mean

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3
Q

z-score (formula)

A

data point minus mean over standard deviation

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4
Q

positive z-score

A

above the mean, data value greater than mean

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5
Q

negative z-score

A

below the mean, data value less than mean

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6
Q

adding or subtracting every data value by a constant

A

center-add/subtract by constant
spread-same
shape-same

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7
Q

multiplying or dividing every data value by a constant

A

center-multiply/divide by constant
spread-multiply/divide by constant
shape-same

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8
Q

the normal curve

A

symmetric, unimodal, bell shaped, mean=median

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9
Q

the empirical rule

A

within one standard deviation on either side of the mean is 68% of the data, 2 standard deviations 95%, 3 standard deviations 99.7%

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10
Q

empirical rule intervals (min -3, -3 -2… 3 max)

A

0.15, 2.35, 13.5, 34, 34, 13.5, 2.35, 0.15

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11
Q

normal curve problems

A
  1. draw and label curve with mean, standard deviation, ticks
  2. do calculations (SHOW WORK!)
  3. answer the question with context
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12
Q

mean of z-scores is…

A

always 0

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13
Q

standard deviation of z-scores is…

A

always 1

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14
Q

normalcdf

A

put in upper/lower bounds and mean/SD (0 and 1 for z-score, real numbers for real numbers) to get area/percentile

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15
Q

invNorm

A

put in area (percentile, decimal) and mean/SD (0 and 1 for z-scores, real numbers for real numbers) to get equivalent z-score or x value

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