What are the minimum first quartile medium third quartile and maximum of the data set 60 50 130 200 180 150 100 and 140

1 answer

The data set in numerical order is: 50, 60, 100, 130, 140, 150, 180, 200

Minimum: 50
First quartile (Q1): The median of the lower half of the data set (50, 60, 100, 130).
Q1 = (60+100)/2 = 80

Medium: The median of the entire data set is (100+130)/2 = 115

Third quartile (Q3): The median of the upper half of the data set (130, 140, 150, 180, 200).
Q3 = (140+150)/2 = 145

Maximum: 200

Therefore, the minimum, first quartile, median, third quartile, and maximum are 50, 80, 115, 145, and 200, respectively.