Central Tendency in Statistics
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Questions and Answers

What is the most frequently repeated value in the dataset 5, 4, 2, 3, 2, 1, 5, 4, 5?

  • 4
  • 1
  • 2
  • 5 (correct)

    • In a symmetrical distribution of continuous data, which measures of central tendency coincide?

  • Mean, Median, and Mode (correct)
  • Mode and Mid-range
  • Median and Mid-range
  • Mean and Median

    • What is the ideal measure of central tendency in a symmetrical distribution?

  • Mean (correct)
  • Median
  • Mid-range
  • Mode

    • Which measure of central tendency is best suited for a skewed distribution of data?

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

    Which measure of central tendency is best suited when data is categorized?

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

    What is another measure of central tendency besides Mean, Median, and Mode?

    <p>Mid-range</p> Signup and view all the answers

    What is the primary goal of the central tendency in statistics?

    <p>To give an accurate description of the entire data in a distribution</p> Signup and view all the answers

    What is the formula to calculate the mean value of a dataset?

    <p>(𝑥1 + 𝑥2 + ...)/n</p> Signup and view all the answers

    What is the condition under which all geometric, arithmetic, and harmonic mean values are the same?

    <p>When all values in the dataset are the same</p> Signup and view all the answers

    Which of the following is NOT a measure of central tendency?

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

    What is the weighted mean used for?

    <p>To find the central tendency of a dataset with different weights</p> Signup and view all the answers

    How many measures of central tendency are mentioned in the text?

    <p>3</p> Signup and view all the answers

    What is the midrange in a set of data?

    <p>The average of the lowest and highest scores in a set of data</p> Signup and view all the answers

    What is the formula for the arithmetic mean?

    <p>Arithmetic Mean = (Sum of all values) / (Total number of values)</p> Signup and view all the answers

    Why is the arithmetic mean influenced by outliers?

    <p>Because it is sensitive to extreme values in the dataset</p> Signup and view all the answers

    What is the formula for the geometric mean?

    <p>Geometric Mean = (Π (value1 * value2 <em>...</em> valuen))^(1/n)</p> Signup and view all the answers

    What is a characteristic of the arithmetic mean?

    <p>It is the most commonly used measure of central tendency due to its simplicity</p> Signup and view all the answers

    What is a limitation of the midrange?

    <p>It is prone to bias due to its dependence on extreme values</p> Signup and view all the answers

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