Chapter 1 Flashcards

(55 cards)

1
Q

Association

A

Occurs between two variables if specific values of one variable tend to occur in common w specific values of the other

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2
Q

The 1.5 x IQR Rule for Outliers

A

Call an observation an outlier if it falls more than 1.5 x IQR above the third quartile or below the first quartile

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3
Q

Back to back stemplot

A

Used to compare the distribution of quantitative variable for two groups

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4
Q

Stem

A

Each observation in both groups is separated into a stem

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5
Q

Leaf

A

The final digit

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6
Q

Bar graph

A

Used to display the distribution of a categorical variable or to compare the sizes of quantities
The horizontal axis identifies categories

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7
Q

Bimodal

A

Describes a graph of quantitative data w two clear peaks

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8
Q

Box plot

A

A graph of a five number summary
The box spans the quartiles & shows the spread of the central half of distribution
Lines extend from the box to the extremes and show the full spread of data

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9
Q

Categorical variable

A

Places an individual into one of several groups or categories

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10
Q

Conditional distribution

A

Describes the values of one variable among individuals who have a specific value of another variable
There is a separate conditional distribution for each value of the other variable

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11
Q

Data analysis

A

A process of describing data using graphs & numerical summaries

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12
Q

Dotplot

A

A simple graph that shows each data value as a dot above its location on a number line

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13
Q

Distribution

A

Tells what values a variable takes & how often it takes these values

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14
Q

First Quartile

A

If the observations in a data set are ordered from lowest to highest, the first quartile is the median of the observations whose position is to the left of the median

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15
Q

The Five Number Summary

A

Consists of the smallest observation, the first quartile, the median, the third quartile, and the largest observation, written in order from smallest to largest

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16
Q

Frequency Table

A

Displays the count of observations in each category or class

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17
Q

Histogram

A

Displays the distribution of quantitive variable

The lines touch

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18
Q

Individuals

A

Objects described by a set of data

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19
Q

Inference

A

Drawing conclusions that go beyond the data at hand

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20
Q

Interquartile range

A

IQR = Q3 - Q1

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21
Q

Marginal distribution

A

Of one of the categorical variables in a two way table of counts is the distribution of values that variable among all individuals described by the table

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22
Q

Mean

A

The average

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23
Q

Median

A

Midpoint of data

24
Q

Mode

A

The value or class in a statistical distribution having the greatest frequency

25
Multimodal
Describes a graph of quantitative data w more than two clear peaks
26
Outlier
An individual value that falls outside the overall pattern of a distribution
27
Overall pattern
In any graph of data, look for the overall pattern and for striking departures from that pattern Shape, center, and spread describe the overall pattern of the distribution of a quantitive variable
28
Pie chart
Shows the distribution of a categorical variable as a pie whose slices are sized by the counts or percents for the categories
29
Quantitive variable
Takes numerical values for which it makes sense to find an average
30
Range
Maximum value minus the minimum value
31
Relative frequency table
Shows the percents of observations in each category
32
Resistant measure
A statistic that is not affected very much by extreme observations
33
Roundoff error
The difference between the calculated approximation of a number and it's exact mathematical value
34
Simpson paradox
An association between two variables that holds for each individual value of a third variable can be changed or even reversed when the data for all values of the third variable are combined
35
Skewed to the right
If the right side of the graph is much longer than the left
36
Skewed to the left
Left side is longer than the right side
37
Splitting stem
A method for spreading out a stem plot that has few stems
38
Stem plot
A simple graphical display for fairly small data set that gives a quick picture of the shape of a distribution while including the actual numerical values
39
Symmetry
If the right & left sides of a graph are mirror images of each other
40
Third Quartile
If the observation in a data set are ordered from lowest to highest, the third Quartile is the median
41
Unimodal
Describes graph of quantitive data w a single peak
42
Variables
Any characteristic of an individual, can take different values from different individuals
43
Variance
The average squared distance of the observations in a data set from their mean
44
Standard deviation
How far each score is from the mean in average
45
SOCS
Shape Outliers Centers Spread
46
Shape
Symmetric & shape
47
Center
Mean | Median
48
Spread
Standard deviation Range IQR
49
Rule for outliers
Q1- 1.5(IQR) | Q3+ 1.5(IQR)
50
Box plot
A central box is drawn from Q1 to the Q3 Draw number line Mark median Lines mark min and max Stop line before outlier than Dot outlier
51
Mean & standard deviation
Symmetric
52
Median & IQR
Skewed
53
When mean & median are lose
It will be symmetric
54
Use bar graph for
Categorical data
55
Use histogram for
Quantative data