Median of Data given Mean and Mode Solution

STEP 0: Pre-Calculation Summary
Formula Used
Median of Data = ((2*Mean of Data)+Mode of Data)/3
Median = ((2*Mean)+Mode)/3
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mean of Data: 75 --> No Conversion Required
Mode of Data: 60 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Median = ((2*Mean)+Mode)/3 --> ((2*75)+60)/3
Evaluating ... ...
Median = 70
STEP 3: Convert Result to Output's Unit
70 --> No Conversion Required
FINAL ANSWER
70 <-- Median of Data
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur
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2 Median Calculators

Median of Data given Mean and Mode
​ Go Median of Data = ((2*Mean of Data)+Mode of Data)/3
Median of First N Natural Numbers
​ Go Median of Data = (Value of N+1)/2

Median of Data given Mean and Mode Formula

Median of Data = ((2*Mean of Data)+Mode of Data)/3
Median = ((2*Mean)+Mode)/3

What is Median and it's importance in Statistics?

In Statistics, Median is one of the three basic measures of central tendency of a data, which gives the middle value of the given list of data when arranged in an order. The arrangement of data or observations can be made either in ascending order or in descending order. For example, in the data 2, 5, 6, 8, 9, 15, 17 the median is 8. The basic feature of the median in describing data compared to the mean or average, is that it is not skewed by a small proportion of extremely large or small values. And therefore provides a better representation of a typical value. Median income, for example, may be a better way to suggest what a typical income is, because income distribution can be very skewed.

How to Calculate Median of Data given Mean and Mode?

Median of Data given Mean and Mode calculator uses Median of Data = ((2*Mean of Data)+Mode of Data)/3 to calculate the Median of Data, Median of Data given Mean and Mode formula is defined as 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, and calculated using the mean and mode of the data. Median of Data is denoted by Median symbol.

How to calculate Median of Data given Mean and Mode using this online calculator? To use this online calculator for Median of Data given Mean and Mode, enter Mean of Data (Mean) & Mode of Data (Mode) and hit the calculate button. Here is how the Median of Data given Mean and Mode calculation can be explained with given input values -> 53 = ((2*75)+60)/3.

FAQ

What is Median of Data given Mean and Mode?
Median of Data given Mean and Mode formula is defined as 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, and calculated using the mean and mode of the data and is represented as Median = ((2*Mean)+Mode)/3 or Median of Data = ((2*Mean of Data)+Mode of Data)/3. Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data & Mode of Data is the value or values that appear most frequently in a dataset. It represents the most common or repeated values.
How to calculate Median of Data given Mean and Mode?
Median of Data given Mean and Mode formula is defined as 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, and calculated using the mean and mode of the data is calculated using Median of Data = ((2*Mean of Data)+Mode of Data)/3. To calculate Median of Data given Mean and Mode, you need Mean of Data (Mean) & Mode of Data (Mode). With our tool, you need to enter the respective value for Mean of Data & Mode 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 Median of Data?
In this formula, Median of Data uses Mean of Data & Mode of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Median of Data = (Value of N+1)/2
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