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Questions and Answers
What is the relationship between mean, median, and mode?
What is the relationship between mean, median, and mode?
- Mode is always larger than median in a right-skewed distribution
- They are always equal in a symmetric distribution
- Median is the 50th percentile or 0.5-quantile of the distribution (correct)
- Mean is the 0.5-quantile of the distribution
What does the central limit theorem state?
What does the central limit theorem state?
- It indicates the probability distribution of random variables
- It describes the dispersion of data points around the median
- It explains the convergence of the sample mean to the population mean (correct)
- It defines the relationship between mean and mode
What characterizes a Bernoulli trial in probability theory?
What characterizes a Bernoulli trial in probability theory?
- Each trial can only result in a success outcome (correct)
- It represents an experiment with a fixed number of trials
- It involves a continuous random variable
- The success probability is always greater than 1
What does the quantile in statistics refer to?
What does the quantile in statistics refer to?
Which parameter defines a discrete random variable?
Which parameter defines a discrete random variable?
How is correlation coefficient different from covariance?
How is correlation coefficient different from covariance?
What is the mean of a Bernoulli distribution with parameter p?
What is the mean of a Bernoulli distribution with parameter p?
What does the variance of a binomial distribution depend on?
What does the variance of a binomial distribution depend on?
In a geometric distribution, what does E(X) represent?
In a geometric distribution, what does E(X) represent?
What is the negative binomial distribution used for?
What is the negative binomial distribution used for?
What does a Poisson distribution describe?
What does a Poisson distribution describe?
In which interval is a uniform distribution random variable typically defined?
In which interval is a uniform distribution random variable typically defined?
What does the coefficient of variation (C.O.V.) measure?
What does the coefficient of variation (C.O.V.) measure?
Which statistic measures the dependency of two variables and how they vary together?
Which statistic measures the dependency of two variables and how they vary together?
What does the correlation coefficient measure?
What does the correlation coefficient measure?
Covariance between which type of variables is zero?
Covariance between which type of variables is zero?
What is the measure of the central tendency of a dataset?
What is the measure of the central tendency of a dataset?
At what point does the Cumulative Distribution Function (CDF) take a value α?
At what point does the Cumulative Distribution Function (CDF) take a value α?
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