Question 1
Explain the difference between the interquartile range and the range. Which is more sensitive to extreme values? Explain your thinking.Question 2
Explain how to find the adjacent values when constructing a modified boxplot. When are the adjacent values equal to the minimum and maximum observations?Answer 1
Answers will vary. Possible answer: The range is the difference between the largest and smallest values and is therefore sensitive to extreme values. The interquartile gives the range of the middle 50% of the observations. Since it does not depend on the largest 25% or smallest 25% of the observations, it is not sensitive to extreme values.Answer 2
Answers will vary. Possible answer: The upper adjacent value is the largest value that is smaller than the upper limit. The lower adjacent value is the smallest value that is larger than the lower limit. When there are no potential outliers, the adjacent values are equal to the minimum and maximum observations.