What is the definition of Normal Distribution?
A symmetrical, unimodal, continuous probability distribution where Mean = Median = Mode.
What is the definition of Mean (ฮผ)?
The arithmetic average of the data; the center of the normal distribution.
What is the definition of Standard Deviation (ฯ)?
A measure of the dispersion or spread of data around the mean in a normal distribution.
What is the definition of Z-score?
The number of standard deviations a data point is from the mean.
What is the definition of Percentile?
The percentage of data that falls below a certain value.
What is the formula for calculating a Z-score?
$z = \frac{x - \mu}{\sigma}$
What is the formula for calculating the z-score, given a data point (x), a mean (ฮผ), and a standard deviation (ฯ)?
$z = \frac{x - \mu}{\sigma}$
What are the differences between Z-scores and Percentiles?
Z-score: Measures standard deviations from the mean. | Percentile: Percentage of data below a value.
What are the differences between using the Large Counts Condition and the Central Limit Theorem to check for normality?
Large Counts Condition: Used for categorical data (proportions). | Central Limit Theorem: Used for quantitative data (means) with a sample size of at least 30.