Four students have applied for a scholarship and only one can be selected.  The students have taken a battery of seven tests and all have exactly the same average score. The standard deviation of their scores are: Student A = 3.12, Student B = 0.27, Student C = 13.45, Student D = 6.45   If consistency of performance is a criteria for acceptance, which of the four students should be selected? And why? Justify your reasoning.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.