Statistics Chapter on Central Tendency
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Questions and Answers

What is one of the functions of central tendency?

  • Eliminates outliers
  • Summarizes a large dataset (correct)
  • Maximizes statistical errors
  • Minimizes the dataset
  • Which of these is NOT a goal of the mathematical average?

  • Aids in mathematical computations
  • Condenses a large dataset
  • Helps in future planning and decision making
  • Maximizes data variability (correct)
  • What is the mode of the following dataset: 5, 6, 5, 14, 5, 18, 5, 25, 5?

  • 5 (correct)
  • 14
  • 25
  • 6
  • Using the formula $M = \frac{(N+1)}{2}$, what does the variable N represent?

    <p>Total number of terms</p> Signup and view all the answers

    What is one of the main advantages of calculating the mode?

    <p>It indicates the most common value</p> Signup and view all the answers

    What is the calculation method for the simple arithmetic mean?

    <p>Dividing the sum of all data points by their count</p> Signup and view all the answers

    Which mean involves assigning weights to data points based on their significance?

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

    What is a practical application of the mode?

    <p>Finding the most popular item</p> Signup and view all the answers

    What is one quality of an ideal mean?

    <p>It must consider all data points</p> Signup and view all the answers

    Which characteristic describes a mode in a frequency distribution?

    <p>It represents the most frequently occurring value</p> Signup and view all the answers

    How is the median defined in a set of ordered values?

    <p>The average of the two middle values</p> Signup and view all the answers

    Which of the following is NOT a characteristic of the mode?

    <p>It can only be found in numerical datasets</p> Signup and view all the answers

    Which statement best describes the weighted mean?

    <p>Values are adjusted by their respective weights</p> Signup and view all the answers

    What is one of the primary benefits of using the mode in data analysis?

    <p>It provides a quick measure of central tendency</p> Signup and view all the answers

    What is a key advantage of the arithmetic mean as a measure of central tendency?

    <p>It facilitates further mathematical analysis</p> Signup and view all the answers

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