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18. The annual profits of five large corporations in a certain area are given be

ID: 3204712 • Letter: 1

Question

18.   The annual profits of five large corporations in a certain area are given below. Which measure of central        tendency should be used? Which measure of central tendency may not exist for this data set?                 $135,000 $143,000 $163,000 $133,000 $1,213,000

19.   Last year batting averages in professional baseball averaged 0.266 with a high of 0.334 and a low of 0.228        (minimum 250 at-bats). Based on this information, which measure of variation could be calculated?

20.   A highly selective boarding school will only admit students who place at least 1.5 z-scores above the mean on a        standardized test that has a mean of 110 and a standard deviation of 12. What is the minimum score that an        applicant must make on the test to be accepted?

Explanation / Answer

18) For the given data, there exist an outlier i.e. 1213000 so measure of central tendencey mean will NOT Exist.

The best measure of central tendency in this scenario is MEDIAN

19) Based on the information provided the measure of variation RANGE could be calculated.

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