Statistics Outliers and Standard Deviation

Order the dot plots from least to greatest standard deviation.

• A, D, C, B

• B, C, D, A

• A, D, B, C

• B, C, A, D

The standard deviation should be interpreted as the typical distance of the values in a distribution from the mean.

• True

• False

Which of the following choices give two measures that are both resistant to outliers?

• The mean and standard deviation.

• The median and standard deviation.

• The median and the IQR.

• The range and the IQR.

Without doing any calculations, which of the distributions shown (A, B, or C) has the largest standard deviation?

• Distribution A

• Distribution B

• Distribution C

• The standard deviations are equal because the ranges are equal.

If an outlier is added to a data set, how does this affect standard deviation?

• increase

• decrease

• stay the same

• both increase and decrease

If a number is added to a set that is outside of one deviation away from the mean, how does this affect standard deviation?

• increase

• decrease

• stay the same

• both increase and decrease

If a number is added to a set that is far away from the mean, how does this affect standard deviation?

• increase

• decrease

• stay the same

• both increase and decrease

Which data point did the statistician exclude?

• (2.3, 11.0)

• (4.2, 16.5)

• (6.4, 23.1)

• (8.2, 24.3)

Pick the definition of an outlier.

• A value that lies outside of most other values in a data set.

• A value that is the largest.

• A value that is the smallest.

• A value that occurs the most.

If outliers are removed, what changes more significantly the standard deviation or interquartile range (IQR)?

• Standard Deviation

• Interquartile Range (IQR)