Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The following data represents a sample of daily profit of a sales company for six weeks in a particular year.

WeekAmount of the Profit($)
13,800
22,800
32,700
49,900
52,600
64,300

What is the median of the profit?

TTanishq



Explanation:

The median is calculated by first sorting the data in ascending order:

WeekAmount of the Profit($)
52,600
32,700
22,800
13,800
64,300
49,900

Since there are 6 observations (even number), the median is the average of the two middle values:

Med(x)=12[x62+x62+1]=12[x3+x4]=12[2800+3800]=3,300\text{Med}(x) = \frac{1}{2} \left[ x_{\frac{6}{2}} + x_{\frac{6}{2}+1} \right] = \frac{1}{2}[x_3 + x_4] = \frac{1}{2}[2800 + 3800] = 3,300

The third and fourth values in the sorted dataset are 2,800and2,800 and 3,800, so the median is $3,300.

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