Mode of Data given Mean and Median Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mode of Data = (3*Median of Data)-(2*Mean of Data)
Mode = (3*Median)-(2*Mean)
This formula uses 3 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.
Median of Data - Median of Data is the middle value of a dataset when it is sorted in ascending or descending order. It separates the higher half from the lower half of the data.
Mean of Data - Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.
STEP 1: Convert Input(s) to Base Unit
Median of Data: 70 --> No Conversion Required
Mean of Data: 75 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mode = (3*Median)-(2*Mean) --> (3*70)-(2*75)
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)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

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 Data given Mean and Median Formula

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

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 Data given Mean and Median?

Mode of Data given Mean and Median calculator uses Mode of Data = (3*Median of Data)-(2*Mean of Data) to calculate the Mode of Data, Mode of Data given Mean and Median formula is defined as the value or values that appear most frequently in a dataset. It represents the most common or repeated values, and calculated using the mean and median of the data. Mode of Data is denoted by Mode symbol.

How to calculate Mode of Data given Mean and Median using this online calculator? To use this online calculator for Mode of Data given Mean and Median, enter Median of Data (Median) & Mean of Data (Mean) and hit the calculate button. Here is how the Mode of Data given Mean and Median calculation can be explained with given input values -> 60 = (3*70)-(2*75).

FAQ

What is Mode of Data given Mean and Median?
Mode of Data given Mean and Median formula is defined as the value or values that appear most frequently in a dataset. It represents the most common or repeated values, and calculated using the mean and median of the data and is represented as Mode = (3*Median)-(2*Mean) or Mode of Data = (3*Median of Data)-(2*Mean of Data). Median of Data is the middle value of a dataset when it is sorted in ascending or descending order. It separates the higher half from the lower half of the data & Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.
How to calculate Mode of Data given Mean and Median?
Mode of Data given Mean and Median formula is defined as the value or values that appear most frequently in a dataset. It represents the most common or repeated values, and calculated using the mean and median of the data is calculated using Mode of Data = (3*Median of Data)-(2*Mean of Data). To calculate Mode of Data given Mean and Median, you need Median of Data (Median) & Mean of Data (Mean). With our tool, you need to enter the respective value for Median of Data & Mean 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 Median of Data & Mean of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!