Mathematics Homework Solutions
Problem
#65623

Perform relevant basic statistical analysis

I need assistance determining Standard deviation, distribution, mean, mode, and population dispersion.

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In this Unit, you studied several measures of central tendency. By far the most frequently utilized of these measures is the mean of a population. Remember that the source of the data that you want to analyze always comes from what is called a population. If you are interested in the average high temperature in your area for the month of July, then your population would be the 31 daily high temperatures in July, and the mean would be the total of these temperatures divided by 31.

Now, suppose you calculate a mean of a population and you want to know how representative that mean is of a random data point in that population. In other words, is the data bunched tightly around the mean, or is it more loosely distributed over the possible range of values? An example would be high temperatures in July versus high temperatures in April or October. In general, the highs in April and October will vary more widely from the means in those months than the highs in July.

In summary, it takes not only the mean to adequately describe a population, but there must be some way to measure the dispersion, or distribution, of the data around the mean.

Research the definition of what is called the distribution of a data population. Also, find the statistic that measures the width of dispersion ("looseness" or "tightness") of the population data about its mean. Present your findings on the Discussion Board and give an example of the type of situation where this statistic might be critical to making good decisions about the population under study.

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Gil, O. UNIT 4 DB question.doc  View File

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Gil, O. UNIT 4 DB question.doc
In this Unit, you studied several measures of central tendency. By far
the most frequently utilized of these measures is the mean of a
population. Remember that the source of the data that you want to
analyze always comes from what is called a population. If you are
interested in the average high temperature in your area for the month of
July, then your population would be the 31 daily high temperatures in
July, and the mean would be the total of these temperatures divided by
31.

Now, suppose you calculate a mean of a population and you want to know
how representative that mean is of a random data point in that
population. In other words, is the data bunched tightly around the mean,
or is it more loosely distributed over the possible range of values? An
example would be high temperatures in July versus high temperatures in
April or October. In general, the highs in April and October will vary
more widely from the means in those months than the highs in July.

In summary, it takes not only the mean to adequately describe a
population, but there must be some way to measure the dispersion, or
distribution, of the data around the mean.

Research the definition of what is called the distribution of a data
population. Also, find the statistic that measures the width of
dispersion (“looseness” or “tightness”) of the population data
about its mean. Present your findings on the Discussion Board and give
an example of the type of situation where this statistic might be
critical to making good decisions about the population under study.
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