Descriptive Statisitcs Flashcards

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0
Q

What are the types of Frequency Distributions?

A
  1. Histogram
  2. Polygons
  3. Bar Graphs
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1
Q

Frequency distribution

A

Distribution showing a frequency for each value of a variable.

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2
Q

what is a frequency?

A

A count of how many times a value occurs

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3
Q

Nominal

A

NO: #s are not meaningful
NO: spaces between #s ≠
NO: |0|
Ex: gender, hair color

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4
Q

Ordinal

A

YES: #s are meaningful
NO: space between #s are ≠
NO: |0|
Organizing categories

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5
Q

Interval Data

A

YES: #s are meaningful
YES: spaces between #s are =
NO: |0|

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6
Q

Ratio

A

YES: #s are meaningful
YES: spaces between #s are =
YES: |0|
Zero point

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10
Q

Positively skewed data

A

high % of scores are at the low end
tail to the right
M is higher than the Mdn

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11
Q

Negatively Skewed Data

A

Large % of scores at the high end of distribution. Tail to the left.
M is lower than the Mdn

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12
Q

If Mean, Median, & Mode are equal

A

Symmetrical, no skew, both sides are equal, normal bell shaped curve.

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13
Q

Kurtosis

A

The degree to which scores cluster around the mean or are spread out over a wide range with many extreme scores.
It is a measure of the flatness or peakedness of a distribution.

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14
Q

Mesokurtic

A

Rolling hill.
Symmetrical, mesokurtic is a normal curve bell curve.
M, Mdn, Mode are equal

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15
Q

Platykurtic

A

Plato
Flat top, many scores at the extreme ends.
A lot of scores around the M but of equal purportionatley. a lot of scores at extreme ends

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16
Q

Leptokurtic

A

Peak or summit
Long tails, scores bunch up at the Mean.
M is Mode,

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17
Q

Measures of Central Tendency

A

Most typical or representative of the entire group.

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18
Q

Descriptive Statistics versus Inferential Statistics

A

Describes the variables

Inferential Infers about the relationship between variables

19
Q

Mode

A

Most frequently occurring scores.
5, 10, 1, 1, 1
1 = Mode

20
Q

Bimodal

A

Two scores occur at the highest frequencies.

21
Q

Multi Model

A

All have to occur with equal frequency

22
Q

Median

A

The score that divides the distribution directly in half where 50% of the scores are about it and 50% below it.
Odd # data middle most score.
Even # data at 2 middle scores and divide by 2

23
Q

Mean

A

M = the sum of all individual scores
divided by n: total scores
EX = 40
EX/N = 40/4 = 10

24
Q

N = all scores in a population

A

n = all scores of a different group

25
Q

Mode:

A

Can be used with all scales of measurement.

ONLY one that can be used with NOMINAL DATA

26
Q

Median

A

Can be used for Ordinal, Interval, and Ration Data

MOST appropriate for ORDINAL DATA

27
Q

Special Considerations on the Mean

A

Measure of central tendency generally favored by psychologists
•Outliers: M is heavily influenced by extreme scores
Ex: how many sex partners would you like to have the next 30 years?

28
Q

Measures of Variation

A

Range: subtract the highest score and lowest score

100-1 = 99

29
Q
Variance, var, s2:
# that represents the total amount of variation in the distribution, Larger the variance the more total spread of scores.
A

s2=Sum of all (take each score subtract from the mean, square it, then add it up.) divided by n-1.
not usually reported.

30
Q

Standard Deviation:

how much on average scores deviate from the mean.

A
variance's square root.
where:
X= each score
M = the mean or average
n= the number of values
E= means we sum across the values
31
Q

What makes the SD big or small?

A
relative to what you are measuring.
if the average age in class is 22 years old, sd is 0 means all ages are 22.
32
Q

Mean

A

Can be used for Interval and Ratio Data but NOT for ORDINAL OR NOMINAL DATA
Ex: gold, silver, bronze cant have 3.5

33
Q

Bar graphs

A

There are spaces between the bars indicate spaces between #s are ≠. Appropriate for Nominal or Ordinal data.

35
Q

Appropriate distributions to be used with Interval and Ratio data?

A

Histogram

Polygon