Consider the data from the FBI and the US Census Bureau found here e. Only consi

Question

Consider the data from the FBI and the US Census Bureau found here e. Only consider data for the first twenty states (Alabama through Maine). Use data about the first twenty states to e Drive ussions des fice 365 lass Notebook estimate the mean of the frequency distribution. Make sure to show your work.If you use formulas or use a calculator, write down the formula or calculator steps Interpret your result. Upload a file with your answers to this question. Upload Choose a File 4 Previous Quiz saved at 9.02am Subrmit Qui

Explanation / Answer

The data is as follows:

The mean of the manslaughter  (total deaths) = (348+59+309+181+1861+176+117+63+162+1041+615+19+32+744+373+72+128+209+481+23)/20 = 351

The mean of the manslaughter rate (per 100,000 inhabitants) =

(7.2+8+4.5+6.1+4.8+3.2+3.3+6.7+24.2+5.1+6.0+1.3+1.9+5.8+5.6+2.3+4.4+4.7+10.3+1.7) / 20 = 5.9 deaths per 100,000 inhabitants.

b. The state District of Columbia has a high manslaughter rate of 24.2. This is an outlier value. Because of the presence of this value, the mean of the 20 states is higher at 5.9. The median rate of the 20 values is 5.0

If we take out this state from our calculation, the manslaughter rate per 100,000 inhabitants is 4.9, which is much smaller and the median is 4.8 and the results are more consistent and the mean and the median are more accurate representative measures of the population. The presence of the outlier value increases the mean, which may not be a true representation of the actual population.

State Population Manslaughter Manslaughter Rate (per 100,000 inhabitants) Alabama          4,853,875                      348                                7.2 Alaska              737,709                        59                                8.0 Arizona          6,817,565                      309                                4.5 Arkansas          2,977,853                      181                                6.1 California        38,993,940                  1,861                                4.8 Colorado          5,448,819                      176                                3.2 Connecticut          3,584,730                      117                                3.3 Delaware              944,076                        63                                6.7 D.C.              670,377                      162                              24.2 Florida        20,244,914                  1,041                                5.1 Georgia        10,199,398                      615                                6.0 Hawaii          1,425,157                        19                                1.3 Idaho          1,652,828                        32                                1.9 Illinois        12,839,047                      744                                5.8 Indiana          6,612,768                      373                                5.6 Iowa          3,121,997                        72                                2.3 Kansas          2,906,721                      128                                4.4 Kentucky          4,424,611                      209                                4.7 Louisiana          4,668,960                      481                              10.3 Maine          1,329,453                        23                                1.7

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