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Basic definations and examples of arithmetic mean, median and mode.

Average, Median and Mode

Average – To find the average of a set of numbers, add the numbers and then divide by the number of items of data.

Example 1

John ran 3 miles on Monday, 4 miles on Tuesday, 3 miles on Wednesday, 5 miles on Thursday and 5 miles on Friday. What was the average number of miles John ran per day? To answer this question, you want to add all of the miles that were run and divide by the number of days.

(3+4+3+5+5) / 5 = 20/5 = 4

John ran an average of 4 miles per day.

Median – To find the median of a set of numbers, order the numbers from smallest to greatest. If there are an odd number of data items, then the median is the number that falls in the middle. If there is an even number of data items, then the median is the average of the two middle numbers.

Example 1

What is the median of this set of numbers?

89, 56, 94, 12, 45

We first rearrange the numbers in order from smallest to largest.

12, 45, 56, 89, 94

There are 5 numbers so the third number is the median. 56 is the median of this set of numbers.

Example 2

What is the median of this set of numbers?

68, 42, 108, 5, 36, 18

We first rearrange the numbers in order from smallest to largest.

5, 18, 36, 42, 68, 108

There are 6 numbers so we need to take the average of the third and fourth numbers to find the median. Find the average of 36 and 42. (36+42)/2 = 78/2 = 39. 39 is the median of this set of numbers.

Mode – The mode of a set of data is the number of numbers that occur most often. If each number is represented the same number of times, therefore there is no mode.

A set of data has only one average (mean) and only one median, but it can have more than one mode. It is also possible for a set of data to have no mode, which is when all numbers are represented the same number of times.

Example 1

What is the mode of this set of numbers?

5, 8, 12, 12, 25

12 is represented two times, while all of the other numbers are represented only once. Therefore, 12 is the mode of this set of numbers.

Example 2

What is the mode of this set of numbers?

12, 15, 15, 23, 23, 40, 56, 78

15 and 23 both occur two times, while all of the other numbers only occur once. Therefore, 15 and 23 are both modes of this set of numbers.

Example 3

What is the mode of this set of numbers?

4, 6, 9, 12, 25

There is no mode as each number occurs once.

Example 4

What is the mode of this set of numbers?

3, 3, 6, 6, 8, 8

There is no mode as each number occurs two times.

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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