Question 3 (1 mark) Attempt 1 Tetrachlorodibenzo-p-dioxin (TCDD) is a highly tox

Question

Question 3 (1 mark) Attempt 1 Tetrachlorodibenzo-p-dioxin (TCDD) is a highly toxic substance found in industrial wastes. A study was conducted to determine the amount of TCDD present in the tissues of dead marine animals found in contaminated areas which we label as SITE 1 and SITE 2. Based on the source: Tissue distrbuton of 2,3,78-TCDD in bulfrogs obtained from 2,378-TCDD ontaminated areas. Chemosphere, 1521 The data were measured in logo(parts per trillion) and 50 observations were taken at each site. If the smallest outlier is removed from the SITE 2 data giving the data set x1.X2.... X49. with a new mean now based on 49 observations, which ONE of the following is TRUE? A B C D E The maximum data point increases The mean will stay the same The standard deviation will increase The sample standard deviation will decrease The new mean of site 2 data

Explanation / Answer

The correct option is D) The sample standard deviation will decrease.

Since the outliers give more variability to a data , so removing a outlier will decrease the variability hence the standard deviation.

Note:

Option A is incorrect, since the outlier removed is smallest.

Option B is incorrect, As the mean changes, because a data values has been removed.

Option C is incorrect, As variability decreases

Option E is incorrect, as it can not be said whether the mean will increase or decrease, because the data is not given

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