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Normal Distribution
a probability function that describes how the values of a continuous variable are distributed. The most important probability distribution in statistics because it fits many natural phenomena
Gaussian Distribution
The other term of Normal Distribution
Carl Friedrich Gauss
The person who derived the equation of its probability density function.
68%
The area between u-o and u+0
95%
The area between u-2o and u+2o
99.7%
The area between u-3o and u+3o
Probabilities
What do you call this part of the Normal Curve?
Z Scores
What do you call this part of the Bell Curve?
1
The area between the curve and the horizontal axis is equal to ?
Symmetrical
The curve is ____________ about its center
Mean Median Mode
In the center coincides the _____, ______, and ______
Asymptotic
The tails of the normal curve are ____________ to the horizontal axis
Above and Below
Half of the area is ______ the mean while the other half is _______ the mean
Mean
What does this symbol mean?
μ
Standard Deviation
What does this symbol mean?
σ
Standard Normal Distribution
If the mean (μ) is 0 and the standard deviation (σ) is 1, then the normal distribution is a ?
Z-Score table
What is this called?
Normal or Bell Curve
What do you call this?
Subtract
Imagine a Bell Curve with the Z-Scores of 1.5 and 2.5, what will you do to get the needed Z-Score since they are on the same side of the Curve?
Add
Imagine a Bell Curve with the z-Scores of -3.01 and 0.87. What will you do to get the needed Z-Score since they are on different sides
The area between the Z-Scores
Assume a Bell Curve has the Z-Scores of -2.5 and 1 respectively, what will you shade?
The area of the Z-Score to the right
Assume a Bell Curve and it is asking you to get the value of at least Z-Score 2, what will you shade?
The area of the Z-Score to the left
Assume a Bell Curve and it is asking you to get the value at most Z-Score 1.3, what will you shade?
Z
What does this formula aim to find?
X
What does this formula aim to find?
Given Score
What is the meaning of this symbol? X