Merits and Demerits of Median

 

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Median example (Ungrouped data)

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  Find the median of the following data for marks in Statistics (out of 100). {99, 34, 45, 72, 98, 40, 62, 21} Step 1: Order the values from low to high 21, 34, 40, 45, 62, 72, 98, 99 Here, n (total number of observations) is 8, which is even, so we will use the formula given below: Thus, median marks in Statistics are 53.5.
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Arithmetic Mean example (Ungrouped data)

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  Let's go through an example to illustrate the calculation of the arithmetic mean:   Suppose we have the following dataset of exam scores for a class of students:   {85, 90, 95, 78, 69, 55}   To find the arithmetic mean, we add up all the scores and then divide by the total number of scores: Therefore, the arithmetic mean of the exam scores is 79 (approx.). This means that, on average, the students scored 79 points on the exam.
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