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Vsevolod [243]
3 years ago
13

A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what

would the value of sample variance be using the computational formula?
A. 3.7

B. 4.0

C. 44

D. not possible to know because the scores are not given
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

Option B.

Step-by-step explanation:

Given information:

Σ(x − M) = 44

where, M is mean.

Sample size = 12

The computational formula for sample variance is

s^2=\dfrac{\sum (x-M)^2}{N-1}

where, M is sample mean and N is sample size.

Substitute Σ(x − M) = 44 and N=12 in the above formula.

s^2=\dfrac{44}{12-1}

s^2=\dfrac{44}{11}

s^2=4.0

The sample variance is 4.0.

Therefore, the correct option is B.

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