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Coefficient of Quartile Deviation Formula

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Coefficient of Quartile Deviation is ratio of difference between first and third quartiles to their sum. It measures the spread of data around median. Check FAQs

CQ = \frac{Q 3 - Q 1}{Q 3 + Q 1}

CQ - Coefficient of Quartile Deviation?Q₃ - Third Quartile of Data?Q₁ - First Quartile of Data?

Coefficient of Quartile Deviation Example

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Here is how the Coefficient of Quartile Deviation equation looks like with Values.

Here is how the Coefficient of Quartile Deviation equation looks like with Units.

Here is how the Coefficient of Quartile Deviation equation looks like.

0.5 = \frac{60 - 20}{60 + 20}

0.5 = \frac{60 - 20}{60 + 20}

0.5 = \frac{60 - 20}{60 + 20}

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Coefficient of Quartile Deviation Solution

Follow our step by step solution on how to calculate Coefficient of Quartile Deviation?

FIRST Step Consider the formula

CQ = \frac{Q 3 - Q 1}{Q 3 + Q 1}

Next Step Substitute values of Variables

∴

CQ = \frac{60 - 20}{60 + 20}

Next Step Prepare to Evaluate

∴

CQ = \frac{60 - 20}{60 + 20}

LAST Step Evaluate

∴

CQ = 0.5

Coefficient of Quartile Deviation Formula Elements

Variables

Coefficient of Quartile Deviation

Coefficient of Quartile Deviation is ratio of difference between first and third quartiles to their sum. It measures the spread of data around median.

Symbol: CQ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Quartile Deviation

Third Quartile of Data

Third Quartile of Data is the value below which 75% of the data falls. It represents the upper quartile of the dataset when arranged in ascending order.

Symbol: Q₃

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Third Quartile of Data

First Quartile of Data

First Quartile of Data is the value below which 25% of the data falls. It represents the lower quartile of the dataset when arranged in ascending order.

Symbol: Q₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Quartile of Data

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Formula and 500+ more formulas!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Formula and 1800+ more formulas!

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How to Evaluate Coefficient of Quartile Deviation?

Coefficient of Quartile Deviation evaluator uses Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data) to evaluate the Coefficient of Quartile Deviation, Coefficient of Quartile Deviation formula is defined as the ratio of difference between first and third quartiles to their sum. It measures the spread of data around median. Coefficient of Quartile Deviation is denoted by CQ symbol.

How to evaluate Coefficient of Quartile Deviation using this online evaluator? To use this online evaluator for Coefficient of Quartile Deviation, enter Third Quartile of Data (Q₃) & First Quartile of Data (Q₁) and hit the calculate button.

FAQs on Coefficient of Quartile Deviation

What is the formula to find Coefficient of Quartile Deviation?

The formula of Coefficient of Quartile Deviation is expressed as Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data). Here is an example- 0.333333 = (60-20)/(60+20).

How to calculate Coefficient of Quartile Deviation?

With Third Quartile of Data (Q₃) & First Quartile of Data (Q₁) we can find Coefficient of Quartile Deviation using the formula - Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data).

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Coefficient of Quartile Deviation Formula

Coefficient of Quartile Deviation Example

Coefficient of Quartile Deviation Solution

Coefficient of Quartile Deviation Formula Elements

Credits

Other formulas in Coefficients category

How to Evaluate Coefficient of Quartile Deviation?

FAQs on Coefficient of Quartile Deviation

Variable Name