# 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.

are nano particles real
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
no can't
Lohitha
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
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?
what is a peer
What is meant by 'nano scale'?
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
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?
what king of growth are you checking .?
Renato
how did you get the value of 2000N.What calculations are needed to arrive at it
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