Having trouble differentiating Mean, Median and Mode ? Then read here!

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Mean, Median and Mode


Mean, Median and Mode are the three most common ways to describe the central tendency in a given set of statistics.

But do you feel you fail to remember which one is which? Or is this your first time hearing them? Well, either way, you are at the right place as this post will cover all you need to know about Mean, Median and Mode.

Mean Median Mode
What is it? also commonly known as average.It is a calculated central value of a given set. It is the middle value of a given set Presents the most frequent value in a given set
How is it calculated? Grouped Data

where:
∑= Sum of all
m= values
f=frequency of the value
n= Total no. of values

Make cumulative frequency table and find the:

((n+1)/2)th observation if the total no. of observation is odd.

Mean of (n/2)th observation and ((n/2)+1)th observation if the total no. of observation is even.

 

Observa-tion with highest frequency
Ungrouped Data Image result for mean formula

where:
∑= Sum of all
x= values
N= Total no. of values

Arrange the data in ascending order and find the:((n+1)/2)th observation if the total no. of observation is odd.

Mean of (n/2)th observation and ((n/2)+1)th observation if the total no. of observation is even.

 

 

The most frequently occurring value

Solved Examples:

  • Question: Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13
    • Solution:
      Given sequence: 13, 18, 13, 14, 13, 16, 14, 21, 13

      The mean is the usual average, so:
      (13+18+13+14+13+16+14+21+13)/9=15

      The median is the middle value, so to rewrite the list in order:

      13, 13, 13, 13, 14, 14, 16, 18, 21

      There are nine numbers in the list, so the middle one will be

      (9+1)/2=10/2=5

      = 5th number, So the median is 14.

      The mode is the number that is repeated more often than any other, so 13 is the mode.

We hope Mean, Median and Mode are all clear to you now. If not, you can leave your queries in the comment box below. We’ll make sure to help you in any way possible.

 

 

 

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