In this exercise you will compare the efficiency of the mean of a sample to thre

Question

In this exercise you will compare the efficiency of the mean of a sample to three other estimators of position of a continuous distribution in one coordinate. All three of the alternative estimators have the advantage of being more robust than the mean. N.B. Pay careful attention to the questions asked below as well as to the construction of the spreadsheet. Enter answers to the questions in some prominent place in the workbook. a) Using Excel, in one row generate ten Gaussian distributed random deviates with mean 0 and b) In the same row compute the mean of the ten deviates. c) In tho samc row computc tho mcdian of thc ton dcviatos. d) In the same row compute the "truncated mean" obtained by discarding the smallest and largest deviates and computing the mean of the remaining eight.

Explanation / Answer

(a) In each of the 10 cells write "=norminv(rand(),0,1)"

(b) For mean write =average(#array of the 10 cells)

(c) For mdeian write Median(#array of the 10 cells)

(d) Find minimum of these 10 by "=min(#array of 10 cells)"

Find maximum of these 10 by "=max(#array of 10 cells)"

remove these two values and check the mean with Average function for 8 of the remaining values which will be nothing but the truncated mean

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