David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: Univariate Data Accessing Equal Opportunities, Exercise 24: Unit review

While doing research on developed countries and the percentage of homelessness, Mesfin found the average of ten countries to be $5\%$. After he included data on another country, the average jumped to $9\%$. What was the new data value that he found?.

With a mean value of $9\%$ for eleven countries, Mesfin finds a country that has $3\%$ homelessness.Find the mean value for the twelve countries.

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

For the above data, calculate the mean GDP per capita for the Middle East region.

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

Do you think Qatar is an outlier in this data set? Justify why or why not?

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

Take Qatar out of the data and recalculate the mean GDP per capita.

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

Comment on the effect that an extreme value has on the mean.

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

Do some research and try to explain why Qatar has such a high value in comparison to the surrounding countries.

GDP per capita generally shows the relative performance of countries, taking into account the cost of living within that country.In the Middle East, GDP per capita data(per thousand) are listed in the tables below.

Draw a box-and-whisker for this data set. For the purpose of this question, we will use a statistical definition of an outlier, which is, a data point that is either.

$3\times$the interquartile range or more above the third quartile, or

$3\times$the interquartile range or more below the first quartile.

Use this reassess whether or not Qatar would be considered an outlier.