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InterviewSolution
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12. The mean and median of 100 observations are 50 and 52respectively. The value of the largest observation is 100. Itwas later found that it is 110 not 100. Find the true mean andmedian.24 |
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Answer» Mean = 50.ie∑x / 100 = 50 , where x are the observationstherefore∑x = 50 * 100 = 5000now, 100 is actually 110, so new∑x = 5000 - 100 + 110new∑x = 5010new mean = new∑x/ 100 = 5010/100 = 50.1 new median = 52, as median remains unchanged as it is the middlemost observation, hence 110 has no effect on the median as it is the highest observation |
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