Question Type 7: Comparing two different data sets of box and whiskers Exercises

Data set A has the five-number summary min=4, Q1=7, median=9, Q3=13, max=16. Data set B has the five-number summary min=3, Q1=6, median=10, Q3=15, max=20. Determine which data set has the larger range.

Data set B has five-number summary min=8, Q1=10, median=12, Q3=14, max=16. If 3 is added to every data point in set B, find the new five-number summary.

Data set A has five-number summary min=2, Q1=5, median=8, Q3=10, max=12. Data set B has min=3, Q1=6, median=9, Q3=12, max=14. Calculate the difference between the medians and interpret which data set has the higher median.

Data set A has five-number summary min=10, Q1=12, median=15, Q3=18, max=20. Data set B has min=5, Q1=9, median=14, Q3=17, max=22. Calculate the IQR for both data sets and determine which data set has less variability in the middle 50%.

Data set A has five-number summary min=3, Q1=5, median=6, Q3=7, max=8. Data set B has min=8, Q1=10, median=12, Q3=14, max=16. If every value in data set B is decreased by 3, determine the new five-number summary of data set B.

Data set A has five-number summary min=4, Q1=7, median=9, Q3=13, max=16. If every value in data set A is multiplied by 2, determine the new median, Q1, Q3, range, and IQR.

Using the same data sets as in question 1, determine which data set has the larger interquartile range (IQR).

Data set A has five-number summary min=1, Q1=2, median=5, Q3=8, max=9. Data set B has min=0, Q1=3, median=6, Q3=7, max=10. Based on the positions of the median within the quartiles and whiskers, determine the skewness of each data set.

Data set A has five-number summary min=2, Q1=5, median=8, Q3=10, max=20. Data set B has min=3, Q1=6, median=9, Q3=12, max=15. Compare the median, range, and IQR of sets A and B. State which set has the higher median, greater range, and larger IQR.

Data set A has five-number summary min=10, Q1=12, median=15, Q3=18, max=20. If the maximum value in data set A increases from 20 to 25, calculate the new range and comment on how the IQR is affected.

Data set B has five-number summary min=3, Q1=6, median=9, Q3=12, max=14. Calculate the lower and upper fences using the 1.5×IQR rule and determine whether any values would be considered outliers.

Data set A has five-number summary min=2, Q1=5, median=8, Q3=10, max=20. Identify any outliers in data set A using the 1.5×IQR rule.