Effect on Mean and Median

A value that is much higher or much lower than the other values in a set of data.

• Outlier
• Box Plot
• Range
• Histogram

Which statistic is affected by extreme values?

• mean

• median

• mode

 

Which of the following is not sensitive to extreme values?

• The range

• The interquartile range

• The Standard Deviation

• The coefficient of variation

What effect does eliminating the highest value, 210, from the data set have on the mean and median?

25, 50, 50, 60, 70, 70, 85, 85, 90, 90, 105, 210

Do the calculations.

The following table gives the math scores of 10 friends:

If the score of the outlier is not included, what is the mean score?

(a)  

The temperatures (in °F) recorded at Exton at noon on each day for two weeks were as follows:

81, 78, 77, 75, 80, 82, 84, 78, 74, 75, 49, 71, 76, 80

If the outlier is excluded, what was the mean temperature?

(a)