Guys need help, the attachment contains problem from GMAT prep software with correct answers. I would like the explanation for each.
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Statement 1: If we multiply or divide all the elements by same constant, standard deviation changes by the magnitude of the constant. As it is given that 30% of the volume of water is removed from all the tanks, the standard deviation will also decrease by 30%.During an experiment, some was removed from each of 6 water tanks. If the standard deviation of the volumes of water in the tanks at the beginning of the experiment was 10 gallons, what was the standard deviation of the volumes of water in the tanks at the end of the experiment?
1. For each tank, 30 percent of the volume of water that was in the tank at the beginning of the experiment was removed during the experiment.
2. The average(arithmetic mean) volume of water in the tanks at the end of the experiment was 63 gallons.
Yes. You are correct.mariofelixpasku wrote:shouldnt the standard deviation change exact by that factor if we multiply each volume by the same factor ?