Formulas for Quartiles, Deciles, and Percentiles in Grouped Data
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Questions and Answers

Which formula is used to derive quartiles, deciles, and percentiles for grouped data?

  • Formula for standard deviation
  • Formula for the mean
  • Formula for the mode
  • Formula for the median (correct)
  • In the quartiles formula, what does Fb represent?

  • Upper CB of the quartile class
  • Sample size
  • Frequency of the quartile class (correct)
  • Interval width
  • What does Lqc stand for in the quartiles formula?

  • Width of the class interval
  • Class midpoint
  • Lower quartile class (correct)
  • Upper quartile class
  • Which statistical measure is not used in deriving quartiles, deciles, and percentiles for grouped data?

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

    What role does class size (C) play in the quartiles formula?

    <p>Adjusts the quartile position within the class</p> Signup and view all the answers

    Study Notes

    Quartiles, Deciles, and Percentiles for Grouped Data

    • The formula to derive quartiles, deciles, and percentiles for grouped data involves calculating the cumulative frequency and using it to find the desired percentile.
    • In the quartiles formula, Fb represents the cumulative frequency of the class preceding the quartile.
    • Lqc in the quartiles formula stands for Lower Quartile Class.
    • The statistical measure not used in deriving quartiles, deciles, and percentiles for grouped data is the mode.
    • Class size (C) plays a crucial role in the quartiles formula as it is used to calculate the width of the class in which the quartile lies.

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    Description

    Learn how quartiles, deciles, and percentiles are calculated using the formula derived from the median in grouped data. Explore an example involving student scores to understand the computation of quartiles.

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