Normal Distribution Flashcards

1
Q

How do you represent normally distributed data?

A
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2
Q

What are the characteristics of the normally distributed curve?

A

Symmetrical
Continuous
Mode= median= mean
Total area under curve = 1

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3
Q

What percentage of the data is within 1 standard deviation, 2 and 3?

A
  1. 68%
  2. 95%
  3. 99.7%
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4
Q

What is the formula for standardising X results ?

A

Where Z has a mean of zero and standard deviation of 1

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5
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6
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7
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8
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9
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10
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11
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12
Q

What does the letter Z represent?

A

The number of standard deviations above the mean.

The variable is known as a standard normal distribution

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13
Q

What is the formula for Z coding?

A
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14
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15
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18
Q

What happens to the standard deviation and variance increasing by a scale factor 3?

22
Q

What’s the general method ?

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What are the assumptions/ conditions for normal distribution?
When p is close to 0.5 and n is fairly large it resembles normal distribution
27
Why use a normal approximation for binomial distribution?
The binomial formula makes use of factorials which is not very efficient unless computed
28
How do you convert from binomial distribution to normal distribution?
29
What is continuity correction? (And steps to do so)
Approximating a discrete range using a continuous one 1. If > or < convert to <=, >= first 2. Enlarge the range at each end by 0.5
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