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Which of the following formula is used in calculating standard deviation?
Mathematics
ScanSolve AI Answer
Answer
C
Step-by-step solution
6 stepsThe standard deviation for a population of data points is given by the formula
where is the mean .
Compare with option A
.
This lacks the sum , squared differences , and has incorrect denominator . Incorrect.Compare with option B
.
This averages the differences without squaring them. Incorrect (this resembles mean absolute deviation).Compare with option C
.
This matches the standard deviation formula exactly. Correct.Compare with option D
(OCR artifacts like "10 szu" likely irrelevant; appears identical to C, but context suggests possible sample variant—however, standard population uses ).
Option C is the clear match.Compare with option E
.
Lacks the sum over all data points. Incorrect.C
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