Question

When would median be a better measure of central tendency? Please give an example.

Answer #1

When would median be a better measure of central tendency?
Please give an example.

The median is an appropriate measure of central tendency for
_____ data.

1. Why do we prefer the median as a better measure of central
tendency when the data are positively/negatively skewed? Are there
times in which mean or mode should be used instead? Explain your
answer.
2. Find an article about the misuse of statistics and share what
you have learned from the article. Then, find an example of when
statistics were misused/skewed and state the reason why you think
the statistics were reported that way.
3. Maybe you have considered...

Identify a time when the measures of central tendency would not
be appropriate to use. Give a specific example.
Draw a skewed graph and attach it.

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):

Under what conditions would you use the median rather
than the mean as a measure of central tendency? Why? Provide an
example of two situations in which the median might be more useful
than the mean as a measure of central tendency.

When data is at the categorical level of measurement, which
measure of central tendency should be used to summarize the
data
A.) both the mean and median are appropriate
B.) neither the mean or median are appropriate
C.) mean
D.) median

5.
What measure of central tendency (mean, median, or mode) should you
use if you wish the deviations above the measure to be equal in
size to the deviations below the measure?

Mean, median, and mode are the three measures of central
tendency that we learned about in this class. We use these to
describe the center of a distribution. For each of the following
examples please identify which measure of central tendency should
be used given the situation.
A negatively skewed distribution
A platykurtic distribution

MEASURE OF CENTRAL TENDENCY CANNOT GIVE COMPLETE PICTURE OF DATA
FOR INTERPRETATION.WHAT KIND OF INFORMATION IS NECESSARY TO MAKE
SENSE OF MEASURE OF CENTRAL TENDENCY?MEAN LIFE EXPECTANCY OF A A
CITIZEN OF PAKISTAN IS 58 YEARS.WHAT DOES IT MEANS..EXPLAIN USING
STATISTICAL KNOWLEDGE.

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