2. Using the following map showing the temperature of certain cities on April 25 2013, 'Suude u ilk-ail 51 .l ll u I '. .' ' . -.I II #3\"! MEGS? 'Sm 3' - - . ' Billimn53 05mm - ' '_ u . 'W \" _ -. I' - Wash-glen, ILC. ' ., _ _. s: tum s: _ ' _ _ .5\" .M n ' nals u | , W cMiamj H \\ Boh argues that the average temperature of the United States is [51+54+49+53+67+57+39+49+3+69+69+44+47+41+74+52+53+56)/13=54.3\"17. Alice, who is from the state of Rhode Island [a very small state] disagrees. She proposes that it would he better to take one cityr from each state, and take the average of those temperatures. Charlotte, who is from Texas (a large state) doesn't like this idea. She feels it is unfair. (a) 1Why could Charlotte feel this way? (b) If given the temperature from a city in each state, what is the formula that will most accurately give the average temperature of the United States. (Hint: when taking Riemann sums, you don't necessarily need to subdivide into squares. Also some geographical information is needed.) (c) If you are given the temperature in a town from each county in the U.S.. what would he a similar formula, as in part (b). for the average temperature in the U.S.'.' Generally speaking. comparing the estimates you obtain in part (b) and here, which one do you expect to be closer to the true value of the average temperature