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24    CHAPTER 1                 The Sociological Perspective


         TABLE 1.3          Three Ways to Measure “Average”

         The Mean                            The Median                          The Mode

         The term average seems clear enough. As  To compute the second average, the  The third measure of average, the mode, is
         you learned in grade school, to find the  median, first arrange the cases in  simply the cases that occur the most often.
         average you add a group of numbers  order—either from the highest to the  In this instance the mode is 57, which is way
         and then divide the total by the number of  lowest or the lowest to the highest. That   off the mark.
         cases that you added. Assume that the  arrangement will produce the following
         following numbers represent men     distribution.
         convicted of battering their wives.
                EXAMPLE                        EXAMPLE                                    EXAMPLE
                      321                            57           1,795                          57
                      229                            57            321                           57
                       57                           136            289                          136
                      289                           229     or     229                          229
                      136                           289            136                          289
                       57                           321             57                          321
                     1,795                        1,795             57                         1,795
         The total is 2,884. Divided by 7 (the number   Then look for the middle case, the one that   Because the mode is often deceptive, and
         of cases), the average is 412. Sociologists call   falls halfway between the top and the bot-  only by chance comes close to either of the
         this form of average the mean.      tom. That number is 229, for three numbers   other two averages, sociologists seldom use
           The mean can be deceptive because it is   are lower and three numbers are higher.   it. In addition, not every distribution of cases
         strongly influenced by extreme scores, either   When there is an even numbers of cases, the   has a mode. And if two or more numbers
         low or high. Note that six of the seven cases   median is the halfway mark between the two   appear with the same frequency, you can
         are less than the mean.             middle cases.                       have more than one mode.
           Two other ways to compute averages are
         the median and the mode.




      © Robert Weber/The New Yorker Collection/www.cartoonbank.com
                                       individuals a series of questions. Before you begin your research, however, you must deal
                                       with practical matters that face all researchers. Let’s look at these issues.
                                       Selecting a Sample.  Ideally, you might want to learn about all wives in the world,
                                       but obviously you don’t have enough resources to do this. You will have to narrow your
                                       population, the target group that you are going to study.
                                          Let’s assume that your resources (money, assistants, time) allow you to investigate
                                       spouse abuse only among the students on your campus. Let’s also assume that your col-
                                       lege enrollment is large, so you won’t be able to survey all the married women who are
                                       enrolled. Now you must select a sample, individuals from among your target popula-
                                       tion. Not all samples are equal. For example, married women enrolled in introductory
                                       sociology and engineering courses might have quite different experiences. If so, survey-
                                       ing just one or the other would produce skewed results.
                                          Remember that your goal is to get findings that apply to your entire school. For
                                       this, you need a sample that represents the students. How can you get a representative
                                       sample?
        To attain their goal of objectivity and   The best way is to use a random sample. This does not mean that you stand on some
        accuracy in their research, sociologists
        must put away their personal opinions.  campus corner and ask questions of any woman who happens to walk by. In a ran-
                                       dom sample, everyone in your population (the target group) has the same chance of being
                                       included in the study. In this case, because your population is every married woman
        population a target group to be   enrolled in your college, all married women—whether first-year or graduate students,
        studied
                                       full- or part-time—must have the same chance of being included in your sample.
        survey the collection of data by   How can you get a random sample? First, you need a list of all the married women
        having people answer a series of   enrolled in your college. Then you assign a number to each name on the list. Using a
        questions
                                       table of random numbers, you then determine which of these women will become part
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