The accompanying data show the number of central public libraries in 30 states and the District of Columbia. A summary of the data is shown in the following table. Should the maximum and minimum values of this data set be considered potential outliers? Why or why not? You can check your answer by using technology to make a boxplot using fences to identify potential outliers. Summary statistics Variable n Mean Std.dev. Median Minimum Maximum Q1 Q3 Central 31171.41935179.3852 91 1 756 68 219 Public Libraries Central Public Library Data E....... States Number of Central States Number of Central Libraries Libraries New Mexico 87 Alabama 218 Colorado 113 North Carolina 80 Tennessee 186 Illinois 623 New Hampshire 219 New Jersey 281 Missouri 149 South Carolina 42 Florida 82 Indiana 237 Virginia 91 Arizona 90 Alaska 79 Arkansas 58 Hawaii 1 New York 756 Rhode Island 48 Delaware 21 Montana 82 Louisiana 68 District of Columbia 1 lowa 534 Idaho 102 Ohio 251 California 184 Oregon 129 Massachusetts 368 Florida 82 Mississippi 52Should the maximum value of this data set be considered a potential outlier? Why or why not? Because the maximum value is the the value a potential outlier. (Type an integer or a decimal. D greater than less than equal toShould the maximum value of this data set be considered a potential outlier? Why or why not? Because the maximum value is l:| the |:| D, the value l:| a potential outlier. (Type an integer or a decimal. Do not round.) - median, left limit, range, right limit, Should the maximum value of this data set be considered a potential outlier? Why or why not? Because the maximum value is |:| the El D, the value l:| a potential outlier. (Type an integer or a decimal. Do not round.) _ is not considered is considered