I'm trying to solve following type of combined date given question. Imagined that there's two factor

zuzogiecwu

zuzogiecwu

Answered question

2022-05-07

I'm trying to solve following type of combined date given question. Imagined that there's two factories. They are X and Y. "X" factory has 10 workers and "Y" has 20 workers. These two factory's production respectively given as Σx^2=2950 and ΣY^2=5000. Moreover, "X" factory mean is 18 and "Y" factory mean is 15.
If the whole population is considered as a one. How to calculate the mean and standard deviation in a situation like this one? I'm not expecting the final answer, I rather would like to know the procedure that how to solve such a question.

Answer & Explanation

Haylie Cherry

Haylie Cherry

Beginner2022-05-08Added 17 answers

You have x ¯ = 18 and so Σ x = 18 × 10 = 180
Similarly, y ¯ = 15 so Σ y = 15 × 20 = 300
So the pooled mean is
180 + 300 10 + 20 = 16
For the standard deviation, the combined sum of squares is 2950 + 5000 = 7950
Using the standard formula, the pooled standard deviation is
7950 30 16 2 = 3

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