Formulas for Quartiles, Deciles, and Percentiles in Grouped Data

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5 Questions

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

Formula for the median

In the quartiles formula, what does Fb represent?

Frequency of the quartile class

What does Lqc stand for in the quartiles formula?

Lower quartile class

Which statistical measure is not used in deriving quartiles, deciles, and percentiles for grouped data?

Mean

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

Adjusts the quartile position within the class

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.

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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