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第一题原题为: A certain characteristics in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ? A. 16% B. 32% C. 48% D. 84% E. 92% it is symmetric about m, 意思是 data less than m is 50% and data greater than m is also 50%. distribution betwen one std dev d,意思是 the distribution from m+d to m-d would also be symmetric about m and thus would contain two equal, symmetrical halves. Thus, each of the area from m to m+d and to m-d would be 34% or 68/2=34%.
Thus, for data to be less than m+d, we have
Data from m+d to m = 34% Data less than m = 50% Thus, total 84%
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