Measures of Central Tendency Quiz

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Questions and Answers

Which measure of central tendency is the most commonly used?

  • Geometric mean
  • Arithmetic mean (correct)
  • Median
  • Mode

How is the arithmetic mean calculated?

  • By taking the square root of the observations
  • By finding the middle value
  • By summing all the observations (correct)
  • By finding the most common value

What does the arithmetic mean represent?

  • The value that occurs least frequently
  • The average value of all observations (correct)
  • The value in the middle of the distribution
  • The value that occurs most frequently

What are the other four measures of central tendency mentioned in the text?

<p>Mean deviation, Mode, Median, Geometric mean (C)</p> Signup and view all the answers

What are the merits of using the arithmetic mean?

<p>Easy to understand and calculate (D)</p> Signup and view all the answers

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Study Notes

Measures of Central Tendency

  • The arithmetic mean is the most commonly used measure of central tendency.

Calculating Arithmetic Mean

  • The arithmetic mean is calculated by summing all the values in a dataset and dividing the result by the total number of values.

Representation of Arithmetic Mean

  • The arithmetic mean represents the average value of a dataset, providing a snapshot of the central value of the data.

Other Measures of Central Tendency

  • The other four measures of central tendency mentioned are the median, mode, geometric mean, and harmonic mean.

Merits of Arithmetic Mean

  • The arithmetic mean is sensitive to extreme values in the data, making it a good measure for datasets without outliers.
  • The arithmetic mean is easy to calculate and understand, making it a widely used measure.
  • The arithmetic mean is useful for making predictions and estimating future values.

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