Which of the following statements are true? Check all that apply.

The mean is affected by outliers.

The mean is always a more accurate measure of center than the median.

Removing an outlier from a data set will cause the standard deviation to increase.

If a data set's distribution is skewed, then 95% of its values will fall between two standard deviations of the mean.

If a data set's distribution to skewed to the right, its mean will be larger than its median.

Question

Nevaeh Zuniga

Mathematics

2 September, 12:49

Which of the following statements are true? Check all that apply.

The mean is affected by outliers.

The mean is always a more accurate measure of center than the median.

Removing an outlier from a data set will cause the standard deviation to increase.

If a data set's distribution is skewed, then 95% of its values will fall between two standard deviations of the mean.

If a data set's distribution to skewed to the right, its mean will be larger than its median.

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Answers (1)

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Stephen Evans · Answer 1

If a data set’s distribution is skewed, then 95% of its values will fall between two standard deviations of the mean

The mean is always a more accurate measure of center than the median.