Systolic blood pressures from two simple random samples of the same population h

Question

Systolic blood pressures from two simple random samples of the same population have the same sums of squared deviations from their means. Sample 1 has 200 observations and sample 2 has 400 observations. Both samples are symmetrical. Which ones of the following is/are true? Correct false statements.

1) The average of the deviations from the mean in both samples is zero.

2) The standard deviation of sample 2 is larger than the standard deviation of sample 1.

3) Roughly speaking, the average distance of the observations from the mean in sample 1 is smaller than the same measure for sample 2.

Explanation / Answer

1) The average of the deviations from the mean in both samples is zero. : True

2) The standard deviation of sample 2 is larger than the standard deviation of sample 1.: False

3) Roughly speaking, the average distance of the observations from the mean in sample 1 is smaller than the same measure for sample 2. : False

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