We learned three ways to measure central tendency: mean, median,
and mode. Explain which of the...
We learned three ways to measure central tendency: mean, median,
and mode. Explain which of the three is more likely to be
influenced by outliers and why?
Solutions
Expert Solution
TOPIC:Effect of outliers on the different measures of Central
tendency.
Which measure of central tendency would you use for the
following variables (mean, median or mode). Explain your
choice.
Gender:
_______________________________________________________
Class rank at a college:
__________________________________________________
Age of high school students:
________________________________________
A skewed income distribution (90% with incomes under $150K; a
few with incomes of several million):
____________________________________________________
Which measure of central tendency would you use for the
following variables (mean, median or mode). Explain your
choice.
Gender:
_______________________________________________________
Class rank at a college:
__________________________________________________
Age of high...
The three main measures of central tendency are the mean,
median, and mode. Each of these could be impacted in different ways
by an outlier that is distant from the other data points. Depending
on the data set that you are describing, you might choose to use
the mean, median, or mode to give a more accurate view of the
data.
Describe a situation where you might have an outlier in a data set.
How will this outlier impact the...
Discuss the advantages and disadvantages of all three
measures of central tendency; mean, median, and mode. Give specific
examples of situations in which you would find these measures
useful.
The mean, median, and mode are frequently referred to as the
measures of central tendency. All three of these are used commonly,
especially by the media when trying to make a point or persuade an
audience to some point of view. However, each of these three
statistical measures has their own shortcomings.
For your own original contribution to this Discussion Board,
complete the following:
Research the shortcomings of measures of central tendency.
Summarize your findings and cite your sources.
Find...
1. Compare AND contrast the three measures of
central tendency: mean, median and mode. List THREE areas of
daily life o in which you think one of the mean, median, or mode
would be the best choice to describe an “average.”
2. Discuss the similarities AND differences of the
three ways of measuring data variation: (1) range, (2) standard
deviation, and (3) box-and-whisker plot.
Find the measures of central tendency (mean, median & mode)
for the variable"Price”(Price of each car sold) and discuss the
shape of this distribution. Which measure is the best to represent
“price” data: the mean or the median. (Hint: Use 10% rule). Discuss
your rationale for the choice.
Data of Price:
7020 17115 17170 17235 17350 17365 17385 17435 17485 17565 17620
17735 17765 17935 17935 17985 18000 18035 18235 18985 17965 7850
7960 8510 8930 9560 9620 9640 9995...
Discuss why the median is a more stable measure of central
tendency than the mean. Provide an original example in your
discussion. (2 pts)
3. Why do we generally consider the mean to be a more precise
measure of central tendency than either the median or the mode? (1
pt)
4. Discuss why a mean should not be used with ordinal level
variables. Justify your answer. (1 pt)
5. For each of the following, indicate the measure of central
tendency...
Discuss the three measures of central tendency (mode, mean,
medium) in depth, to include when each is best used in statistical
analysis. Explain your rationale.