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 (D)</p>
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Which measure of central tendency is best suited when data is categorized?

<p>Mode (B)</p>
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What is another measure of central tendency besides Mean, Median, and Mode?

<p>Mid-range (D)</p>
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What is the primary goal of the central tendency in statistics?

<p>To give an accurate description of the entire data in a distribution (A)</p>
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What is the formula to calculate the mean value of a dataset?

<p>(𝑥1 + 𝑥2 + ...)/n (C)</p>
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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 (B)</p>
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Which of the following is NOT a measure of central tendency?

<p>Correlation (D)</p>
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What is the weighted mean used for?

<p>To find the central tendency of a dataset with different weights (B)</p>
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How many measures of central tendency are mentioned in the text?

<p>3 (B)</p>
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What is the midrange in a set of data?

<p>The average of the lowest and highest scores in a set of data (A)</p>
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What is the formula for the arithmetic mean?

<p>Arithmetic Mean = (Sum of all values) / (Total number of values) (B)</p>
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Why is the arithmetic mean influenced by outliers?

<p>Because it is sensitive to extreme values in the dataset (B)</p>
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What is the formula for the geometric mean?

<p>Geometric Mean = (Π (value1 * value2 <em>...</em> valuen))^(1/n) (C)</p>
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What is a characteristic of the arithmetic mean?

<p>It is the most commonly used measure of central tendency due to its simplicity (A)</p>
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What is a limitation of the midrange?

<p>It is prone to bias due to its dependence on extreme values (A)</p>
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