Quartile Deviation given Coefficient of Quartile Deviation Calculator

✖Coefficient of Quartile Deviation is the ratio of the interquartile range (difference between the first and third quartiles) to the sum of the first and third quartiles.ⓘ Coefficient of Quartile Deviation [CQ]			+10% -10%
✖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.ⓘ Third Quartile of Data [Q₃]			+10% -10%
✖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.ⓘ First Quartile of Data [Q₁]			+10% -10%

✖Quartile Deviation of Data is the half of the interquartile range, representing the spread of the middle 50% of the data. It is the difference between the third and first quartiles.ⓘ Quartile Deviation given Coefficient of Quartile Deviation [QD]

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Formula

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Quartile Deviation given Coefficient of Quartile Deviation

Formula

`"QD" = "CQ"*(("Q"_{"3"}+"Q"_{"1"})/2)`

Example

`"30"="0.6"*(("80"+"20")/2)`

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Quartile Deviation given Coefficient of Quartile Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2)
QD = CQ*((Q₃+Q₁)/2)
This formula uses 4 Variables

Variables Used

Quartile Deviation of Data - Quartile Deviation of Data is the half of the interquartile range, representing the spread of the middle 50% of the data. It is the difference between the third and first quartiles.
Coefficient of Quartile Deviation - Coefficient of Quartile Deviation is the ratio of the interquartile range (difference between the first and third quartiles) to the sum of the first and third quartiles.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Quartile Deviation: 0.6 --> No Conversion Required
Third Quartile of Data: 80 --> No Conversion Required
First Quartile of Data: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

QD = CQ*((Q₃+Q₁)/2) --> 0.6*((80+20)/2)

Evaluating ... ...

QD = 30

STEP 3: Convert Result to Output's Unit

30 --> No Conversion Required

FINAL ANSWER

30 <-- Quartile Deviation of Data

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 2 Quartile Deviation Calculators

Quartile Deviation given Coefficient of Quartile Deviation

Go Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2)

Quartile Deviation

Go Quartile Deviation of Data = (Third Quartile of Data-First Quartile of Data)/2

Quartile Deviation given Coefficient of Quartile Deviation Formula

Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2)
QD = CQ*((Q₃+Q₁)/2)

What is Quartile Deviation and it's applications?

Quartile Deviation is an important measure of dispersion in statistical data analysis. It is also known as semi inter quartile range. The Quartile Deviation helps to examine the spread of a distribution about a measure of its central tendency usually mean or median or mode and most commonly mean. Hence, it is in use to give us an idea about the range within which the central 50% of our sample data lies. Quartiles are in use for reporting on a set of data and for making box and whisker plots. Quartiles are of particular use when the data does not have a symmetrical distribution. Usually in a company the HR teams use it to determine what salary range to provide to an employee or newly joined workers based on their experience and qualifications.

How to Calculate Quartile Deviation given Coefficient of Quartile Deviation?

Quartile Deviation given Coefficient of Quartile Deviation calculator uses Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2) to calculate the Quartile Deviation of Data, Quartile Deviation given Coefficient of Quartile Deviation formula is defined as the half of the interquartile range, representing the spread of the middle 50% of the data. It is the difference between the third and first quartiles, and calculated using the coefficient of quartile deviation ratio of the data. Quartile Deviation of Data is denoted by QD symbol.

How to calculate Quartile Deviation given Coefficient of Quartile Deviation using this online calculator? To use this online calculator for Quartile Deviation given Coefficient of Quartile Deviation, enter Coefficient of Quartile Deviation (CQ), Third Quartile of Data (Q₃) & First Quartile of Data (Q₁) and hit the calculate button. Here is how the Quartile Deviation given Coefficient of Quartile Deviation calculation can be explained with given input values -> 9 = 0.6*((80+20)/2).

FAQ

What is Quartile Deviation given Coefficient of Quartile Deviation?

Quartile Deviation given Coefficient of Quartile Deviation formula is defined as the half of the interquartile range, representing the spread of the middle 50% of the data. It is the difference between the third and first quartiles, and calculated using the coefficient of quartile deviation ratio of the data and is represented as QD = CQ*((Q₃+Q₁)/2) or Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2). Coefficient of Quartile Deviation is the ratio of the interquartile range (difference between the first and third quartiles) to the sum of the first and third quartiles, 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 & 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.

How to calculate Quartile Deviation given Coefficient of Quartile Deviation?

Quartile Deviation given Coefficient of Quartile Deviation formula is defined as the half of the interquartile range, representing the spread of the middle 50% of the data. It is the difference between the third and first quartiles, and calculated using the coefficient of quartile deviation ratio of the data is calculated using Quartile Deviation of Data = Coefficient of Quartile Deviation*((Third Quartile of Data+First Quartile of Data)/2). To calculate Quartile Deviation given Coefficient of Quartile Deviation, you need Coefficient of Quartile Deviation (CQ), Third Quartile of Data (Q₃) & First Quartile of Data (Q₁). With our tool, you need to enter the respective value for Coefficient of Quartile Deviation, Third Quartile of Data & First Quartile of Data and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Quartile Deviation of Data?

In this formula, Quartile Deviation of Data uses Coefficient of Quartile Deviation, Third Quartile of Data & First Quartile of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -

Quartile Deviation of Data = (Third Quartile of Data-First Quartile of Data)/2

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