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 (D)</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 (D)</p> Signup and view all the answers

Flashcards

Formula for Quartiles, Deciles, and Percentiles

The formula used to calculate quartiles, deciles, and percentiles for grouped data.

Fb (in quartiles formula)

The frequency of the class containing the quartile.

Lqc (in quartiles formula)

The lower limit of the class containing the quartile.

Class Size (C) in Quartiles Formula

The class size is used to adjust the position of the quartile within its class.

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Mean in Quartile Calculations

The mean (average) is not used in calculating quartiles, deciles, or percentiles for grouped data.

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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.