10 Which one of the following would be affected by out extre

10. Which one of the following would be affected by out extreme values Please give a reason for your answer. (3 points) a) Standard deviation b) Midquarti c) Inter quartile range d) Median 11 Which one doesn\'t belong? Please give a reason for your answer. (3 points) a) Standard deviation b) median c) mode d) midrange.

Solution

MEAN
Use the mean to describe the middle of a set of data that does not have an outlier.

Advantages:
   • Most popular measure in fields such as business, engineering and computer science.
   • It is unique - there is only one answer.
   • Useful when comparing sets of data.

Disadvantages:
   • Affected by extreme values (outliers)

MEDIAN
Use the median to describe the middle of a set of data that does have an outlier.

Advantages:
   • Extreme values (outliers) do not affect the median as strongly as they do the mean.
   • Useful when comparing sets of data.
   • It is unique - there is only one answer.

Disadvantages:
   • Not as popular as mean.

MODE
Use the mode when the data is non-numeric or when asked to choose the most popular item.

Advantages:
   • Extreme values (outliers) do not affect the mode.

Disadvantages:
   • Not as popular as mean and median.
   • Not necessarily unique - may be more than one answer
   • When no values repeat in the data set, the mode is every value and is useless.
   • When there is more than one mode, it is difficult to interpret and/or compare.