Question

If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?


A) 1.98

B) 2.00

C) 3.92

D) 4.00

Answer 1

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

• $\sigma = \sqrt{\frac{SS}{n} }$

where:

• SS is the sum of squares = 200
• n is the sample size = 51

Substitute the given parameters into the formula to have:

$\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980$

Hence the standard deviation is 1.98

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