Coefficient of Range Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data)
CR = (L-S)/(L+S)
This formula uses 3 Variables
Variables Used
Coefficient of Range - Coefficient of Range is the ratio of the range (difference between the largest and smallest values) to their sum. It represents the relative variability of the entire dataset.
Largest Item in Data - Largest Item in Data is the highest value in the dataset, indicating the upper extreme of the observed values.
Smallest Item in Data - Smallest Item in Data is the lowest value in the dataset, indicating the lower extreme of the observed values.
STEP 1: Convert Input(s) to Base Unit
Largest Item in Data: 45 --> No Conversion Required
Smallest Item in Data: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CR = (L-S)/(L+S) --> (45-5)/(45+5)
Evaluating ... ...
CR = 0.8
STEP 3: Convert Result to Output's Unit
0.8 --> No Conversion Required
FINAL ANSWER
0.8 <-- Coefficient of Range
(Calculation completed in 00.004 seconds)

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

​LaTeX ​Go
Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data)
CR = (L-S)/(L+S)

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 Range?

Coefficient of Range calculator uses Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data) to calculate the Coefficient of Range, Coefficient of Range formula is defined as the ratio of the range (difference between the largest and smallest values) to their sum. It represents the relative variability of the entire dataset. Coefficient of Range is denoted by CR symbol.

How to calculate Coefficient of Range using this online calculator? To use this online calculator for Coefficient of Range, enter Largest Item in Data (L) & Smallest Item in Data (S) and hit the calculate button. Here is how the Coefficient of Range calculation can be explained with given input values -> 0.5 = (45-5)/(45+5).

FAQ

What is Coefficient of Range?
Coefficient of Range formula is defined as the ratio of the range (difference between the largest and smallest values) to their sum. It represents the relative variability of the entire dataset and is represented as CR = (L-S)/(L+S) or Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data). Largest Item in Data is the highest value in the dataset, indicating the upper extreme of the observed values & Smallest Item in Data is the lowest value in the dataset, indicating the lower extreme of the observed values.
How to calculate Coefficient of Range?
Coefficient of Range formula is defined as the ratio of the range (difference between the largest and smallest values) to their sum. It represents the relative variability of the entire dataset is calculated using Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data). To calculate Coefficient of Range, you need Largest Item in Data (L) & Smallest Item in Data (S). With our tool, you need to enter the respective value for Largest Item in Data & Smallest Item in 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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