# Average, median and mode

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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.

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
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