Measures of Central Tendency in Statistics
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Questions and Answers

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?

  • 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?

  • 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?

    <p>The value below which a certain percentile of data falls</p> Signup and view all the answers

    Which parameter defines a discrete random variable?

    <p>It only assumes integer values</p> Signup and view all the answers

    How is correlation coefficient different from covariance?

    <p>Covariance measures the strength and direction of a linear relationship, while correlation coefficient measures the spread of data points around a line.</p> Signup and view all the answers

    What is the mean of a Bernoulli distribution with parameter p?

    <p>p</p> Signup and view all the answers

    What does the variance of a binomial distribution depend on?

    <p>Number of trials and the probability of success</p> Signup and view all the answers

    In a geometric distribution, what does E(X) represent?

    <p>The number of trials to achieve the first success</p> Signup and view all the answers

    What is the negative binomial distribution used for?

    <p>Describing the number of trials until a specified number of failures occur</p> Signup and view all the answers

    What does a Poisson distribution describe?

    <p>Random processes and is mathematically simple</p> Signup and view all the answers

    In which interval is a uniform distribution random variable typically defined?

    <p>(0, 1)</p> Signup and view all the answers

    What does the coefficient of variation (C.O.V.) measure?

    <p>Spread or variation of possible values around the mean</p> Signup and view all the answers

    Which statistic measures the dependency of two variables and how they vary together?

    <p>Correlation coefficient</p> Signup and view all the answers

    What does the correlation coefficient measure?

    <p>Dependency of two variables</p> Signup and view all the answers

    Covariance between which type of variables is zero?

    <p>Independent variables</p> Signup and view all the answers

    What is the measure of the central tendency of a dataset?

    <p>Expected value</p> Signup and view all the answers

    At what point does the Cumulative Distribution Function (CDF) take a value α?

    <p>The 100α-percentile</p> Signup and view all the answers

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