
Directions: These questions deal with outliers.
1. Given data set: 3, 5, 10, 12, 14, 18, 24, 26, 49, 60
Which of the following statements is true regarding this data?
Choose:


2. The following temperatures were recorded (in Fº) each day for two weeks. 82, 72, 83, 75, 80, 78, 82, 73, 60, 79, 80, 78, 83, 81
(a) What is the outlier in this data, if one exists?
(b) What is the mean for this set of data?
(c) What is the mean for this set of data, if the outlier is removed?
(d) Which of the box plots gives the best representation of this data set?
(e) Which term best describes this data?
Choose:


3. The data set shown below has an outlier. Determine the outlier and then answer the questions as to what happens to the median, mean, mode, range and standard deviation when the outlier is removed.
Data: 29, 19, 35, 27, 21, 48, 23, 12, 24, 26, 20, 28, 30, 22, 19, 32, 22 

If the outlier is excluded, what happens to: 
Increase 
Decrease 
No effect 

the median? 

the mean? 

the mode? 

the range? 

the standard deviation? 



4. Which measure of central tendency is most affected by outliers?




5. Carlos recorded his friends' scores while playing the video game "Golden Eye Commander". Most of his friends' scores were between 9 and 12. One score, however, was 28, and Carlos identified it as an outlier. What should Carlos do with the score of 28 when recording this data?


Choose:


6. Given the box plot:
(a) What is the first quartile, Q_{1}, value?
(b) What is the third, Q_{3}, value?
(c) What is the interquartile range, IQR?
(d) What is the upper outlier fence, Q_{3} + (1.5 • IQR) ?
(e) True or False: The value 28 is an outlier for this data set.


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