I collect the temperature of five cities for five months.  This data table shows below where the response is the average high temperature in Fahrenheit, row classification is city, column classifications is month.

#Graph 1. Find the mean response for each row. Construct a dotplot of the means where the means are ordered from high to low.

In this above plot, the x value represents the mean of temperature from January to May. And the data is ordered from largest to smallest. So, Phoenix has the highest temperature among these five cities in first five month. And the temperature of Adak is distinctly less than other cities.

Graph 2. Construct a dotplot, grouping by rows.

For this above plot, I construct a dotplot grouping by City.  I find that the temperature in May always is largest one than other months. And ranges of temperature for Phoenix, Montgomery, Acampo, and Addison are almost equal. But the range of temperature for Adak is much narrower than others. Finally, we can observe that the means of different cities are roughly same as the first graph.

Graph 3. Construct a dotplot, grouping by columns.

This dotplot grouping by column Month.  From this plot, I find the temperature increases when time goes by for five cities. But the temperature of Adak has the least growth than other cities.

At the end, I find draw a dotplot  by grouping the data by row or column is a better option, since it allows us to effectively decode the distribution of quantitative  data from different angles and enhance data visualization.