5 Number Summaries
Five-Number Summary Minimum Value Lower Quartile (Q1) Median (Q2) Upper Quartile (Q3) Maximum Value
Quartiles The first 25% of the data or the lower 25% of the data is Q1 The middle value between lowest value of the data set and median 50% of the data is Q2 or the median 75% of the data is below Q3, this separates the top 25% of the data from the rest of the 75% of the data The middle value between the median and the highest value in the data set
IQR Interquartile Range IQR= Q3- Q1
Example Find the 5-Number Summary, range and interquartile Range of the following set of data. 1,2,3,4,5,6,70 Remove the outlier of 70. Find the 5-Number summary, range, and interquartile range. Which changed more the range or IQR?