Test 2 Flashcards

1
Q

A ____ is a graph for a quantitative variable

A

Histogram

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2
Q

______ are like histograms, but they also give the individual values.

A

Stem and Leaf

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3
Q

We describe the ______ of a distribution in terms of its modes, its symmetry, and whether it has any gaps or outlying values.

A

shape

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4
Q

Peaks or humps seen in a histogram are called the ____ of a distribution

A

modes

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5
Q

A distribution whose histogram has one main peak is called ?

A

unimodal

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6
Q

two peaks?

A

bimodal

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7
Q

three or more peaks?

A

multimodal

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8
Q

A distribution whose histogram doesn’t appear to have any mode and in which all the bars are approximately the same height is called _______.

A

Uniform

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9
Q

A distribution is _______ if the halves on either side of the center look, at least approximately, like mirror images.

A

symmetric

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10
Q

The thinner ends of a distribution are called the ____?

A

Tails

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11
Q

If one tail stretches out farther than the other, the distribution is said to be _____ to the side of the longer tail.

A

skewed

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12
Q

The ______ are the values that frame the middle 50% of the data.

A

quartiles

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13
Q

The ____ is defined to be the difference between the two quartile values.

A
interquartile range (IQR)
IQR = Q3 - Q1
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14
Q

The ______ of a distribution reports its median, quartiles, and extremes (maximum and minimum).

A

five-number summary

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15
Q

Once we have a five-number summary of a variable, we can display that information in a _______?

A

box plot

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16
Q

Histograms work well for comparing two groups, but _____ offer better results for side-by-side comparison of several groups.

A

box plots

17
Q

A display of values against time is sometimes called a _______.

A

time series plot

18
Q

_____ may be drawn with the points connected

A

Time series plots

19
Q

______ often show a great deal of point-to-point variation, but general patterns do emerge from the plot.

A

Time series plots

20
Q

To better understanding the trend of times series data, plot a _______.

A
smooth trace
(A trace is typically created using a statistics software package and will be discussed in a later section)
21
Q

When a ____ is stationary (without a strong trend or change in variability), then a histogram can provide a useful summary.

A

time series

22
Q

A ______ distribution has roughly the same shape reflected around the center

A

symmetric

23
Q

_____ are values that lie far from the rest of the data.

A

outliers

24
Q

The _____ is the middle value; half the values are above and half are below the median. It is a better summary when the distribution is skewed or has outliers.

A

median

25
Q

The ______ is roughly the square root of the average squared difference between each data value and the mean. It is the summary of choice for the spread of unimodal, symmetric variables.

A

standard deviation

26
Q

The _____ is the difference between the quartiles. It is often a better summary of spread for skewed distributions or data with outliers.

A

IQR

27
Q

We standardize by finding ______. To convert a data value to its z-score, subtract the mean and divide by the standard deviation.

A

z-scores

28
Q

_____ have no units, so they can be compared to z-scores of other variables.

A

z - scores