STATS Flashcards

1
Q

The most widely used and known
probability distribution.

A

NORMAL DISTRIBUTION

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2
Q

Considered as the
cornerstone of modern statistics

A

NORMAL DISTRIBUTION

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3
Q

Often called a “Bell Curve” because it looks like a bell.

A

NORMAL DISTRIBUTION

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4
Q

Connotes the average in
ability, intelligence, size, emotional
traits, and personality.

A

NORMALITY

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5
Q

In plain language, most people and
things are ____ and are
embraced in the ____.

A

MEDIOCRE, MEAN CLASS

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6
Q

(1733) He developed
the mathematical
equation of the
normal curve but his
work went unnoticed.

A

ABRAHAM DE MOIVRE

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7
Q

(1809) He also
derived its equation of the
normal distribution from
a study of errors in
repeated measurements

A

KARL FRIEDRICH GAUSS

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7
Q

A continuous random variable

A

NORMAL DISTRIBUTION

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8
Q

Location Parameter

A

MEAN

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8
Q

Scale Parameter

A

STANDARD DEVIATION

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8
Q

Properties of the Normal Distribution

A
  1. CURVE IS BELL- SHAPED
  2. CURVE IS SYMMETRIC
  3. MEAN, MEDIAN, AND MODE CONCIDE IN THE CENTER.
  4. CURVE IS ASYMPTOTIC
  5. THE AREA OF THE CURVE IS 1.
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9
Q

The width of the curve is determined by the___.

A

STANDARD DEVIATION

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10
Q

Represents the distance
between a given measurement X and the
mean, expressed in standard deviation.

A

Z-SCORE

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11
Q

Table of Areas under the Normal
Curve

A

Z-SCORE

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11
Q

An unaltered measurement

A

RAW SCORE

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12
Q

Are the
activities which could be
repeated over and over again and
which have well-defined results.

A

EXPERIMENT

13
Q

Is
the set of all outcomes in an
experiment

A

SAMPLE SPACE

14
Q

Are the
possible results of an
experiment.

A

OUTCOMES

15
Q

is a characteristic or attribute that can
assume different values.

A

VARIABLE

16
Q

is a function that associates
a real number to each element in the sample space. It is a
variable whose values are determined by chance.

A

RANDOM VARIABLE

17
Q

variable that has
a certain number of particular values and
nothing else.

A

DISCRETE VARIABLE

18
Q

Properties of Discrete Probability Distribution

A
18
Q

It represents the long-term
average or the central tendency of a
random variable’s possible outcomes when
an experiment is repeated many times.

A

EXPECTED VALUE OR MEAN OF A RANDOM VARIABLE

18
Q

Any value that can be measured as
decimals or fractions. These are infinitely
situated between two values of reference.

A

CONTINUOUS VARIABLE

19
Q

Often referred to as the expected value (E[X])

A

MEAN OF A RANDOM VARIABLE

20
Q

Formula in getting the Mean or Expected
Value of the Discrete Random Variable.

A

E(X)= ∑ [x ⋅ P(x)]

20
Q

STEPS IN FINDING THE MEAN OF THE DISCRETE
RANDOM VARIABLE.

A
  1. Determine the sample space.
  2. Count the number of random variables in each outcome in the
    sample space and assign this number to this outcome.
  3. Construct the probability distribution table.
  4. Multiply the value of the random variable X by the corresponding
    probability.
  5. Add the results obtained in Step 4. Results obtained is the mean of
    the probability distribution.
21
Q

Formula of Variance

A

VARIANCE(σ²) = ∑ [(x−μ)² P(x)]