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 distribution of sample 1 has a larger spread around the sample mean than does the distribution of sample 2

2) The standard deviation from sample 1 is a parameter

3) The variaence of sample 1 is a statistic that is sensitive to extreme values (outliers)

Explanation / Answer

1) True ; as spread is proportional to average sums of squared deviations and as number of observations in sample 1 is less; it must have higher spread

2) false ; as this is derived from sample it is statistic.

3) true; as outlier will increase the deviation from mean ; therefore it is sensitive to extreme values

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