  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.

Question

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.

Step 1

Given Data

Standard Deviation of student A = 3.12

Standard Deviation of student B = 0.27

Standard Deviation of student C = 13.45

Standard Deviation of student D = 6.45

Step 2

Standard deviation tells the variation in the data
If the standard deviation is low, then there is very less variation in the data. And the data are consistent. If standard Deviation is large, then there is large variation in the data. And the d...

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