Mode of Grouped Data Calculator

✖Lower Limit of Modal Class is the smallest value in the modal class interval, which has the highest frequency in a frequency distribution.ⓘ Lower Limit of Modal Class [l_Lower]			+10% -10%
✖Frequency of Modal Class is the count of observations in the class with the highest frequency in a frequency distribution.ⓘ Frequency of Modal Class [f₁]			+10% -10%
✖Frequency of Class Preceding the Modal Class is the count of observations in the class immediately before the modal class in a frequency distribution.ⓘ Frequency of Class Preceding the Modal Class [f₀]			+10% -10%
✖Frequency of Class Succeeding the Modal Class is the count of observations in the class immediately after the modal class in a frequency distribution.ⓘ Frequency of Class Succeeding the Modal Class [f₂]			+10% -10%
✖Class Width of Data is the difference between the upper and lower boundaries of a class or interval in a frequency distribution.ⓘ Class Width of Data [w_Class]			+10% -10%

✖Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.ⓘ Mode of Grouped Data [Mode]

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Formula

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Mode of Grouped Data

Formula

`"Mode" = "l"_{"Lower"}+(("f"_{"1"}-"f"_{"0"})/((2*"f"_{"1"})-"f"_{"2"}-"f"_{"0"}))*"w"_{"Class"}`

Example

`"60"="30"+(("14"-"11")/((2*"14")-"15"-"11"))*"20"`

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Mode of Grouped Data Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Mode = l_Lower+((f₁-f₀)/((2*f₁)-f₂-f₀))*w_Class
This formula uses 6 Variables

Variables Used

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.
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.
Frequency of Modal Class - Frequency of Modal Class is the count of observations in the class with the highest frequency in a frequency distribution.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Lower Limit of Modal Class: 30 --> No Conversion Required
Frequency of Modal Class: 14 --> No Conversion Required
Frequency of Class Preceding the Modal Class: 11 --> No Conversion Required
Frequency of Class Succeeding the Modal Class: 15 --> No Conversion Required
Class Width of Data: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mode = l_Lower+((f₁-f₀)/((2*f₁)-f₂-f₀))*w_Class --> 30+((14-11)/((2*14)-15-11))*20

Evaluating ... ...

Mode = 60

STEP 3: Convert Result to Output's Unit

60 --> No Conversion Required

FINAL ANSWER

60 <-- Mode of Data

(Calculation completed in 00.004 seconds)

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< 2 Mode Calculators

Mode of Grouped Data

Go 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

Mode of Data given Mean and Median

Go Mode of Data = (3*Median of Data)-(2*Mean of Data)

Mode of Grouped Data Formula

What is Mode and it's importance in Statistics?

Mode is one of the three basic measures of central tendency in statistical data analysis. It is defined as the most repeating observation in the given data, or the value of the random variable associated with the data having highest frequency. For example, if the observations are 5, 6, 2, 5, 9, 3, 5, 3, 6, 5, 8 then 5 is the most repeating value, and so mode of this data is 5. Mode is most useful as a measure of central tendency when examining categorical data, such as models of cars or flavors of soda, for which a mathematical average median value based on ordering can not be calculated. If we plot the observations graphically, then the observation with the highest peak is the mode. And in practical, for a shop owner the most sold item has the primary importance in their business, and the most sold item is statistically called the mode.

How to Calculate Mode of Grouped Data?

Mode of Grouped Data calculator 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 calculate 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 calculate Mode of Grouped Data using this online calculator? To use this online calculator for Mode of Grouped Data, enter Lower Limit of Modal Class (l_Lower), 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 (w_Class) and hit the calculate button. Here is how the Mode of Grouped Data calculation can be explained with given input values -> 60 = 30+((14-11)/((2*14)-15-11))*20.

FAQ

What is Mode of Grouped 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 and is represented as Mode = l_Lower+((f₁-f₀)/((2*f₁)-f₂-f₀))*w_Class or 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. Lower Limit of Modal Class is the smallest value in the modal class interval, which has the highest frequency in a frequency distribution, Frequency of Modal Class is the count of observations in the class with the highest frequency in a frequency distribution, Frequency of Class Preceding the Modal Class is the count of observations in the class immediately before the modal class in a frequency distribution, Frequency of Class Succeeding the Modal Class is the count of observations in the class immediately after the modal class in a frequency distribution & Class Width of Data is the difference between the upper and lower boundaries of a class or interval in a frequency distribution.

How to calculate Mode of Grouped 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 is calculated using 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 calculate Mode of Grouped Data, you need Lower Limit of Modal Class (l_Lower), 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 (w_Class). With our tool, you need to enter the respective value for Lower Limit of Modal Class, Frequency of Modal Class, Frequency of Class Preceding the Modal Class, Frequency of Class Succeeding the Modal Class & Class Width 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 Mode of Data?

In this formula, Mode of Data uses Lower Limit of Modal Class, Frequency of Modal Class, Frequency of Class Preceding the Modal Class, Frequency of Class Succeeding the Modal Class & Class Width of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mode of Data = (3*Median of Data)-(2*Mean of Data)

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