Mean is the average of given set of data. Mean can be used in situations when
finding the average is meaningful. It is used when the observations are quantitative
and does not have outliers. Median is the middle most observation after the
observations have been arranged in order magnitude. Median is used when there are
extreme observations present in the data, or when the data set is open ended or if
there are any missing values. It is mainly suitable for ordinal data set.Mode is the
most repeated observation in the data. Mode is preferred mostly when the observations
are measured on a nominal scale. Standard deviation determines the spread of
observations about the mean. Standard deviation can be used to summarize continuous
data and when there are no outliers. It can be used to determine if the data fits a
normal curve. The main difference between these is mean, median and mode are
measures of central tendency whereas standard deviation is a measure of dispersion.
Statistically, there are many different ways to analyse sets of numbers. Mean, median,
mode, and standard deviation are examples of statistical analysis that are commonly
used. Mean is the average. The numbers are added together and divided by the
number of numbers being utilized. The median is the middle value of the numbers
being analysed. It doesn't have to be one of the numbers in the set. The mode is the
number or numbers that occur most frequently in the set. Standard deviation is the
difference between numbers in a set. Essentially, it is the distance the numbers are
from each other. Standard deviation is best observed when plotted on a graph, however
the other analytics described above can be analysed either by graphs, charts, or data
sets.
I am an Engineering Technician, which is a Project Manager with a few other
responsibilities thrown in. I am constantly analysing data to make recommendations on
capital improvements or process improvements. As an example, temperature trends are
analysed constantly. We do not have a building automation system, so adjustments
have to be made manually. These adjustments are made based on the average
temperatures in each area. The standard deviation lets us know how the internal
temperatures are responding to the outside air temperature based on the time of day.
Outliers have to be removed and that gives us 90% of the data we need to control
the climate in our building. The standard deviation is widely used as a way of telling
where you are in the distribution. The z distribution includes a set of
STANDARDIZED Scores, meaning scores have been converted to tell you how many
standard deviations the score is from the mean. A z score of 1 says you are one
standard deviation away from the mean.
In medicine, this concept is used in testing for bone density. Taking a group of
healthy people your own age, a distribution of density is taken. Then, an individual
has the same test, and discovers where they are in the distribution. Thus, a z score
of +1 would mean that you have a bone density that is strong--for your age
group.Similarly, a t score is based on the distribution of healthy 30-year-olds.
Comparing yourself against both populations is important. If a person has a t score
of -1, then it means that their bone density is one standard deviation below the
average, 30-year-old person. Below a score of -1, a person is considered to have a
low bone density (osteopenia). Below -2.5, a person is considered to have osteoporosis.
mean, median and mode and the standard division reminds me of when I was trying
to get pregnant. Using an ovulation test and tracking an app gave me details like the
mean median and mode tracking it on a calendar month. If you used an ovulation
test like clear blue, it gave you a four day window to give you an idea when you
were most highly to conceive. I would think the average mean would be the four-day
window and the median would be the centre middle number which it would be the
main ovulation day and the mode I would assume it would be in general the window
of conception. I don't know why I thought of this but it's what reminded me of using
the mean, median and mode on a personal level. The standard deviation would be a
chart to keep track if ovulation days falls the same dates for every month. Analysts
will report the results of a stock trading day by a modified version of a box plot.
The exception is that it will indicate by colour whether it closed lower than the
trading value it started out with (black) vs closing higher (clear). Mean, median, mode,
and standard deviation are all different on how they impact reading data. Mean is
commonly known as the average. You calculate mean by first adding up all of the
data to collect the sum. you then count how many numbers you added up and divide
the sum of the set by the number of the set. Median is calculated by arranging data
points from smallest to largest and taking the middle number of the data. if the data
is made up of even numbers than you take the average of the two middle numbers
to find the median. Mode is calculated by finding which one in the data occurs the
most. the common way is to put the numbers in order and count how many times
each number occurs. All of this information is important I'm in different situation
when analysing data from finding the average to the most common number. In my
personal life collecting the mean, median and mode in data happens quite often. For
example we are catering lunch for our staff of over 100 for Christmas this year. We
took surveys to gather data on the types of food the staff would like to eat.
Calculating the mean and the mode helped us gather an idea on what the average
employee would like to eat and the most liked and least liked foods. The mean,
median, and mode are three kinds of averages. Standard deviation is a measure of
how spread out numbers are. The mean is the average where you add up all of the
numbers and then divide them by the number of numbers present. Median is
considered the middle value in the list of numbers. When determining the median,
you list the numbers in numerical order from smallest to largest, then you locate the
number that is in the middle of the list. Mode is the number in the list that pops up
most often. If there is no number that is repeated in the list, there is no mode for
the list. Standard deviation is considered the average of the squared difference from
the mean. To find it, first you need to find the mean of the list of numbers. Next,
subtract the mean from each number and square the result. Once that’s done, work
out the average of those squared differences.
In my professional life I am responsible for using the data of customer’s
accounts and spending habits in order to make a decision as to whether or not they
may be experiencing fraud. One of my main tasks is to look at they dollar amounts
on their transactions and compare them. Finding the median of the dollar amount in
the transactions helps me to decide if their recent transactions make sense for the
customer’s account. Knowing this information helped me to excel in my position and
help my company mitigate fraud. The mean, median and mode are different
measurements of a set of numbers. The mean is when you add up all the numbers
in the data set and divide by how many sets of numbers there are. The median is
basically the "middle" value of a given set. Mode is the number that appears most in
the given set. The standard deviation is when the data is plotted and you are able to
see the difference in the deviation of numbers. All of the above are useful for when
analysing graphs or different sets of data. You can find any repetitive data, the middle
of the data and typical averages by using the above information to analyse it.In my
professional life, I analyse numbers constantly, day in and day out. We typically deal
with range but we also do have mode situations which are a big issue in my line of
work. Certain things should not be repeated and when you catch those, you are
catching a system error and are able to correct it properly before the customer's
receives their tracking statements. This is helpful to prevent duplicates and double
billing errors. Mean is the average of a set of numbers while the mode is the most
frequently occurring numbers. The mean can be used for many things such as
determining the average temperatures of a month. This is helpful for those that are
determining what activities they can plan. The median is the middle number of a list
of numbers that are in ascending order. The standard deviation is how far from the
mean a group of number is. All of this information is important when gathering data
to provide to those requesting it.In my professional life I cannot think of a time that
I have used this type of information gathering tools however in personal life this
information can be used to figure out housing costs. Or if you are sports fan it can
be used to determine the average amount of yards are ran in a football game. In my
state they have allowed betting online and knowing that information can help you
determine on rather to bet on a game or not. The concepts for mean, median, mode,
and standard are different. Mean is when you add all the numbers in a data set and
then divide it by the number of values in the data set. Median is the middle number
in a list of numbers. Mode is the number that appears the most in a set of data.
Standard deviation is a measure of how spread out numbers are, there can be either
a low or high deviation. Knowing this information about data can help when obtaining
specific data. An example of using mode in my personal life could be if my manager
tells me to write down what time everyone clocked out of work and see what time
seems to appear the most for staff clocking out. An example of median could be a
football team lining up and you are asked to select the middle person and their jersey
number to be captain of the team. Those are both examples of how some of these
concepts could be used in every day life. Use of each is entirely based on what an
individual or company desire to achieve from the gathering of data. For my
professional purposes, test scores and studying the results of each concept are
leveraged. We need to know the average test scores in each class and thus identify
the mean often. Less often but still completed are finding the median and modes as
compared to prior classes and per facilitator of same course; how does trainer A
compare to trainer B? Knowing the measurables of each class allow us as leadership
to eliminate bias from our findings and stick to the numerical facts/assessments. To
further break down and ensure that we quickly address any shortcomings in trainings,
we look to identify trends in question missed too. Perhaps our materials need to be
strengthened around a particular topic, once we have adjusted, how did scores change
if at all? We want individuals to be successful post-training, it is up to us to review
the data and ensure we do our part if gaps are identified, and these mathematical
concepts allow us to do just that. Knowing the mean can help you summarize the
data. Median is the middle value of the sorted data. You can find the median by
ascending or descending the data in order. It is determined by odd or even data
values. The mode is the measure of centre and is the most frequently occurring value
in dataset. Knowing the mode can help you determine what data is the highest usage
such as how many fouls did each basketball player had in a game. Finally the
standard deviation is a measure of variation between values in a data set. This can
be used to find the entire population of specific information. The mean is an average
within a set of numbers. An example of this is ball batting averages. When you see
a professional baseball player and his given stats or average is the mean because it's
the total number of times he has made contact with the ball divided by the number
of times he has gone to the plate to bat. The Median Is also like an average because
its all the numbers lined up in order and the centre value is the median. It’s different
from mean because the numbers are not added and divided by the number of concepts
provided, they are laid out in order. This concept is used when you're trying to find
the average income of a set of people. You place the highest and one in and the
lowest at the other and find the middle value. The Mode is the most repeated number
in a sequence. This gives yet another idea of an average because it's the most
common. You could take a toll having a group of 10 people rate a business, use a
one-to-five-star method. If 4 people gave a 4-star rating and 4 people gave a 2 star
rating and one gave a 5 then the mode is both 4 and 2. It's the most common number
in a sequence. This is something that I must come across with my current job. People
can use our site to give feedback and ratings of the experiences they had while at
our company. We have an average of 4 stars for customer services which is extremely
great in my eyes. If the mode was one star that wouldn't look good for the company,
our product or customer services. Standard deviation is the measurement of the spaces
between values. If you're using a line with values to find the mean median and mode,
then the distance between each value set. Knowing this information and the differences
helps us find the averages of a set of values.
