Consider the following data and corresponding weights. xiWeight(Wi)3.262.032.525.08 Compute the weighted mean. b. Compute the sample mean of the four data values without weighting. Note the dif-ference in the results provided by the two computations.

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Kevin Hunt · Accepted Answer

Step 1  Given data:  The given table is,  xiWeight(Wi)3.262.032.525.08  Step 2  The given table can be redrawn as,  xiWeight(Wi)xiWi3.2619.22.0362.5255.0840∑xi=12.7∑Wi=19∑xiWi=70.2  a) The expression for the weighted mean is,  Wm=∑xiWi∑Wi  =70.219  =3.69  Thus, the weighted mean is 3.69.  Step 3  b) The expression for the sample mean of the four data is,  xm=∑xi4  =12.74 NSК =3.175   Thus, the sample mean of the four data is 3.175.

Consider data and corresponding weights.\[\begin{array}{|c|c|c|}\hline x_{i}&Weight(Wi)\\ \hline 3.2&6\\

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