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A frequency distribution is entered into a calculator's statistics mode. If the mean is 120.200 and the variance 3455.960, the standard deviation is:
A1727.980
B58.787
C3455.960
D120.200
Answer & Solution
Correct answer: B. 58.787
1. Standard deviation is the square root of the variance.
2. So $\delta=\sqrt{3455.960}$.
3. Evaluating gives $58.787$ to three decimal places.
4. Halving the variance, which gives $1727.980$, is not a step in any statistical formula.
5. Reporting the variance itself as the standard deviation confuses the two measures of spread.
_Source: NECTA ACSEE 2022 Advanced Mathematics 142/1, Question 1: Calculating Device_