chapter 2 Flashcards

1
Q

class width

A

(max # - max #) / # of classes

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2
Q

midpoint

A

(lower class + higher class) / 2

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3
Q

Relative frequency

A

class frequency / sample size

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4
Q

Σx

A

adding all the data enteries together

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5
Q

Σ

A

sigma

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6
Q

cumulative frequency

A

sum of that class and all previous classes

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7
Q

histogram

A

bars touch ( -0.5 from lower class and +0.5 from upper class)

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8
Q

frequency polygon

A

line graph that touches x-axis on both sides

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9
Q

Ogive

A

touches the x-axis on its first point; line graph

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10
Q

Stemplots

A

stem I leaf

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11
Q

stem

A

all the numbers except the last digit

ex: 34, 3 is the stem

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12
Q

leaf

A

last digit in the number

ex: 34, 4 is the leaf

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13
Q

trim the leaves

A

removing the last number

ex: 235 -> 2 (stem) I 3(leaf)

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14
Q

Pareto chart

A

bar graph with the largest number on the left -> smallest on the right

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15
Q

population mean symbol

A

μ

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16
Q

population mean equation

A

μ = Σn/n

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17
Q

sample mean symbol

A

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18
Q

sample mean equation

A

x̄ = Σx/n

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19
Q

position of the median

A

(n+1)/2

20
Q

mode

A

highest frequency

21
Q

mean of a frequency distribution

A

x̄ = (Σx times f)/n

22
Q

mean frequency distribution explanation

A

n -> Σ(f)
x -> midpoints
f -> frequency

23
Q

symmetric distribution

A

bell shaped

24
Q

uniform

A

all equal

25
Q

skewed left

A

tail on left

26
Q

skewed right

A

tail on right

27
Q

Variability

A

how spread out a group of data is

28
Q

Range

A

highest number - lowest number

29
Q

larger range = ______ variability

A

more

30
Q

standard deviation

A

variation of the data from the mean

31
Q

σ

A

standard deviation

32
Q

population variance

A

σ^(2) = Σ(x-mean)^(2) / n

33
Q

population standard deviation

A

σ = Square root of Σ(x-mean)^(2) / n-1

34
Q

Sample variance

A

x̄^(2) = Σ(x-mean)^(2) / n

35
Q

sample standard deviation

A

x̄ = Square root of Σ(x-mean)^(2) / n-1

36
Q

empirical rule

A

68, 95, 99.7

37
Q

Chebychev’s theorem

A

1 - 1/k^2

k is standard deviation

38
Q

Coefficient variable

A

standard deviation of the data as a percentage of the mean

39
Q

Coefficient variable equation

A

(standard deviation / mean) times 100

40
Q

interquartile range (IQR)

A

Q3 - Q1

41
Q

Outliers

A
  • Less than Q1 - 1.5(IQR)

- Greater than Q3 + 1.5(IQR)

42
Q

Percentile of x

A

(# of data less than x / total # of data) times 100

43
Q

standardization formula

A

z score = (x-mean)/standard deviation

44
Q

in calculator: standard deviation is ___

A

sx

45
Q

in calculator: mean is ____

A