18 Questions
What is the relationship between mean, median, and mode?
Median is the 50th percentile or 0.5-quantile of the distribution
What does the central limit theorem state?
It explains the convergence of the sample mean to the population mean
What characterizes a Bernoulli trial in probability theory?
Each trial can only result in a success outcome
What does the quantile in statistics refer to?
The value below which a certain percentile of data falls
Which parameter defines a discrete random variable?
It only assumes integer values
How is correlation coefficient different from covariance?
Covariance measures the strength and direction of a linear relationship, while correlation coefficient measures the spread of data points around a line.
What is the mean of a Bernoulli distribution with parameter p?
p
What does the variance of a binomial distribution depend on?
Number of trials and the probability of success
In a geometric distribution, what does E(X) represent?
The number of trials to achieve the first success
What is the negative binomial distribution used for?
Describing the number of trials until a specified number of failures occur
What does a Poisson distribution describe?
Random processes and is mathematically simple
In which interval is a uniform distribution random variable typically defined?
(0, 1)
What does the coefficient of variation (C.O.V.) measure?
Spread or variation of possible values around the mean
Which statistic measures the dependency of two variables and how they vary together?
Correlation coefficient
What does the correlation coefficient measure?
Dependency of two variables
Covariance between which type of variables is zero?
Independent variables
What is the measure of the central tendency of a dataset?
Expected value
At what point does the Cumulative Distribution Function (CDF) take a value α?
The 100α-percentile
Explore the concepts of mean, median, and mode in statistics. Learn how these measures are used to determine the central tendency of a distribution.
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