Coefficient of Quartile Deviation Calculator

✖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%

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

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Formula

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Coefficient of Quartile Deviation

Formula

`"CQ" = ("Q"_{"3"}-"Q"_{"1"})/("Q"_{"3"}+"Q"_{"1"})`

Example

`"0.5"=("60"-"20")/("60"+"20")`

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Coefficient of Quartile Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data)
CQ = (Q₃-Q₁)/(Q₃+Q₁)
This formula uses 3 Variables

Variables Used

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.
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

Third Quartile of Data: 60 --> No Conversion Required
First Quartile of Data: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CQ = (Q₃-Q₁)/(Q₃+Q₁) --> (60-20)/(60+20)

Evaluating ... ...

CQ = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Coefficient of Quartile Deviation

(Calculation completed in 00.004 seconds)

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< 7 Coefficients Calculators

Coefficient of Quartile Deviation

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

Coefficient of Range

Go Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data)

Coefficient of Variation given Variance

Go Coefficient of Variation = sqrt(Variance of Data)/Mean of Data

Coefficient of Mean Deviation Percentage

Go Coefficient of Mean Deviation Percentage = (Mean Deviation of Data/Mean of Data)*100

Coefficient of Variation Percentage

Go Coefficient of Variation Percentage = (Standard Deviation of Data/Mean of Data)*100

Coefficient of Mean Deviation

Go Coefficient of Mean Deviation = Mean Deviation of Data/Mean of Data

Coefficient of Variation Ratio

Go Coefficient of Variation = Standard Deviation of Data/Mean of Data

Coefficient of Quartile Deviation Formula

Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data)
CQ = (Q₃-Q₁)/(Q₃+Q₁)

What are the importance of Coefficients in Statistics?

In Statistics, there are plenty of well known numerical coefficients. Mostly they are ratios of some important parameters related to a sample or population, and sometimes those ratios will be represented as percentage. The primary importance of such coefficients is to take inferences or conclusions about a data. When dealing with large populations, it will be very difficult to take a conclusion by going through all the observations. So first calculate some coefficients or percentages using the parameters which depend all the data like mean, variance, standard deviation, etc. Then using those values we can take various conclusions or decisions about the growth, decay, linearity, performance, etc of the data.

How to Calculate Coefficient of Quartile Deviation?

Coefficient of Quartile Deviation calculator uses Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data) to calculate 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 calculate Coefficient of Quartile Deviation using this online calculator? To use this online calculator for Coefficient of Quartile Deviation, enter Third Quartile of Data (Q₃) & First Quartile of Data (Q₁) and hit the calculate button. Here is how the Coefficient of Quartile Deviation calculation can be explained with given input values -> 0.333333 = (60-20)/(60+20).

FAQ

What is 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 and is represented as CQ = (Q₃-Q₁)/(Q₃+Q₁) or Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First 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 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 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 is calculated using Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data). To calculate Coefficient of Quartile Deviation, you need Third Quartile of Data (Q₃) & First Quartile of Data (Q₁). With our tool, you need to enter the respective value for 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.

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