Normal Distribution Flashcards

1
Q

What is the characteristic shape of a normal distribution?

A

Symmetrical and bell-shaped

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2
Q

The normal distribution is an appropriate model for what?

A

Many common continuous distributions

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3
Q

Give 4 examples of continuous distributions

A

-masses of new born babies
-IQ’s of human beings
-Blood pressure of adults
-Heights of daisies growing in a field

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4
Q

What is discrete data/variables?

A

Whole numbers

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5
Q

What are continuous data/variables?

A

Fractions/decimals

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6
Q

Is Normal distribution continuous or discrete?

A

continuous data (Bi Dis is discrete)

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7
Q

what are the parameters for normal distribution?

A

x ~ N [u,Q^2] u has line and Q has hat

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8
Q

what does the u with the line symbol mean?

A

Mean

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9
Q

What does the Q with the hat mean?

A

Variance

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10
Q

Where is the mean located on a normal dis?

A

At line of symmetry

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11
Q

What points r always located one standard deviation away from the mean?

A

The points of inflection

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12
Q

What does the area under the curve represent?

A

Probability

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13
Q

What percentage lies within 1 standard deviation of the mean?

A

68%

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14
Q

What percentage lies within 2 standard deviations of the mean?

A

95%

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15
Q

What percentage lies within 3 standard deviations of the mean?

A

99.7%

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16
Q

How do u find mean/sd or both?

A

Use z score
Both = simultaneous eq