W5: NORMAL DISTRIBUTION

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1
Normal distribution is also called?
Gaussian Distribution”; bell-shaped curve
2
Continuous probability distribution that describes data that clusters around a mean
normal distribution
3
normal distribution was developed by?
Abraham de Moivre
4
who discovered the paper about normal distribution?
Karl Pearson
5
used the normal curve to analyze astronomical data
Carl Friedrich Gauss
6
when did Carl Friedrich Gauss use the normal curve to analyze astronomical data?
1809
7
what are the properties of a normal distribution?
The distribution is bell-shaped.
• The mean, median, and mode is equal.
• It is unimodal
• It is symmetric about the mean.
• It is continuous.
• It is asymptotic.
• Total area: 100%
8
The area under the part of a normal curve that lies within 1 standard deviation of the mean is about __%;
68
9
The area under the part of a normal curve that lies within 2 standard deviation of the mean is about __%
95
10
The area under the part of a normal curve that lies within 3 standard deviation of the mean is about __%
99.7
11
Curves are generally classified as?
symmetrical or skewed
12
Measures the deviation of a random variable’s given distribution from the normal distribution, which is symmetrical on both sides
Skewness
13
A given distribution can be either be skewed to the left or the right
  • TRUE
  • FALSE
14
A given distribution is shifted to the left with its tail on
the right side
Positively skewed distribution
15
When a curve is __ skewed, most of the scores occur at the lower values of the horizontal axis and the curve tails off toward the higher end
positively
16
A given distribution is shifted to the right with its tail on
the left side
Negatively skewed distribution
17
When a curve is __ skewed, most of the scores occur at the higher values of the horizontal axis and the curve tails off toward the lower end
negatively
18
Universally understood units in testing that allow test users to evaluate a person’s performance
in reference to other persons who took the same test.
Standard Scores
19
The standard score indicates?
how many standard deviations an observation is above or below the mean
20
what happens when you standardize a variable?
its mean becomes zero and its standard deviation
becomes one
21
what are the two standard scores?
z-score and t-score
22
Transformed score that designates how many standard deviation units the
corresponding raw score is above or below the mean
z-score
23
Transformed score that always have a mean of 50 and a standard deviation of 10
t-score
24
t-scores are always?
  • negative
  • positive
25
will show us the area percentages anywhere along
a standard normal distribution curve
z-scores
26
area percentages are also called?
probabilities/proportions
27
The area percentage (proportion, probability) calculated using a z-score will be a decimal value between __ and __, and will appear in a Z-Score Table
0 and 1
28
The total area under any normal curve is?
1 or 100%
29
The area on either sides of the mean is?
0.5 or 50%
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