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Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values. Check FAQs
Mode=lLower+(f1-f0(2⋅f1)-f2-f0)⋅wClass
Mode - Mode of Data?lLower - Lower Limit of Modal Class?f1 - Frequency of Modal Class?f0 - Frequency of Class Preceding the Modal Class?f2 - Frequency of Class Succeeding the Modal Class?wClass - Class Width of Data?

Mode of Grouped Data Example

With values
With units
Only example

Here is how the Mode of Grouped Data equation looks like with Values.

Here is how the Mode of Grouped Data equation looks like with Units.

Here is how the Mode of Grouped Data equation looks like.

60Edit=30Edit+(14Edit-11Edit(2⋅14Edit)-15Edit-11Edit)⋅20Edit
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HomeIcon Home » Category Math » Category Statistics » Category Measures of Central Tendency » fx Mode of Grouped Data

Mode of Grouped Data Solution

Follow our step by step solution on how to calculate Mode of Grouped Data?

FIRST Step Consider the formula
Mode=lLower+(f1-f0(2⋅f1)-f2-f0)⋅wClass
Next Step Substitute values of Variables
∴ Mode=30+(14-11(2⋅14)-15-11)⋅20
Next Step Prepare to Evaluate
∴ Mode=30+(14-11(2⋅14)-15-11)⋅20
LAST Step Evaluate
∴Mode=60

Mode of Grouped Data Formula Elements

Variables
Mode of Data
Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.
Symbol: Mode
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Mode of DataOpen Variable
Lower Limit of Modal Class
Lower Limit of Modal Class is the smallest value in the modal class interval, which has the highest frequency in a frequency distribution.
Symbol: lLower
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Lower Limit of Modal ClassOpen Variable
Frequency of Modal Class
Frequency of Modal Class is the count of observations in the class with the highest frequency in a frequency distribution.
Symbol: f1
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Frequency of Modal ClassOpen Variable
Frequency of Class Preceding the Modal Class
Frequency of Class Preceding the Modal Class is the count of observations in the class immediately before the modal class in a frequency distribution.
Symbol: f0
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Frequency of Class Preceding the Modal ClassOpen Variable
Frequency of Class Succeeding the Modal Class
Frequency of Class Succeeding the Modal Class is the count of observations in the class immediately after the modal class in a frequency distribution.
Symbol: f2
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Frequency of Class Succeeding the Modal ClassOpen Variable
Class Width of Data
Class Width of Data is the difference between the upper and lower boundaries of a class or interval in a frequency distribution.
Symbol: wClass
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Class Width of DataOpen Variable

Other Formulas to find Mode of Data

​Go Mode of Data given Mean and Median
Mode=(3⋅Median)-(2⋅Mean)

How to Evaluate Mode of Grouped Data?

Mode of Grouped Data evaluator uses Mode of Data = Lower Limit of Modal Class+((Frequency of Modal Class-Frequency of Class Preceding the Modal Class)/((2*Frequency of Modal Class)-Frequency of Class Succeeding the Modal Class-Frequency of Class Preceding the Modal Class))*Class Width of Data to evaluate the Mode of Data, Mode of Grouped Data formula is defined as the value or values that appear most frequently in a dataset. It represents the most common or repeated values. Mode of Data is denoted by Mode symbol.

How to evaluate Mode of Grouped Data using this online evaluator? To use this online evaluator for Mode of Grouped Data, enter Lower Limit of Modal Class (lLower), Frequency of Modal Class (f1), Frequency of Class Preceding the Modal Class (f0), Frequency of Class Succeeding the Modal Class (f2) & Class Width of Data (wClass) and hit the calculate button.

FAQs on Mode of Grouped Data

What is the formula to find Mode of Grouped Data?
The formula of Mode of Grouped Data is expressed as Mode of Data = Lower Limit of Modal Class+((Frequency of Modal Class-Frequency of Class Preceding the Modal Class)/((2*Frequency of Modal Class)-Frequency of Class Succeeding the Modal Class-Frequency of Class Preceding the Modal Class))*Class Width of Data. Here is an example- 60 = 30+((14-11)/((2*14)-15-11))*20.
How to calculate Mode of Grouped Data?
With Lower Limit of Modal Class (lLower), Frequency of Modal Class (f1), Frequency of Class Preceding the Modal Class (f0), Frequency of Class Succeeding the Modal Class (f2) & Class Width of Data (wClass) we can find Mode of Grouped Data using the formula - Mode of Data = Lower Limit of Modal Class+((Frequency of Modal Class-Frequency of Class Preceding the Modal Class)/((2*Frequency of Modal Class)-Frequency of Class Succeeding the Modal Class-Frequency of Class Preceding the Modal Class))*Class Width of Data.
What are the other ways to Calculate Mode of Data?
Here are the different ways to Calculate Mode of Data-
  • Mode of Data=(3*Median of Data)-(2*Mean of Data)OpenImg
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