Answer:
Minimum = 50
First Quartile = 80
Median = 135
Third Quartile = 165
Maximum = 200
Step-by-step explanation:
First, it is important to reorder our values into ascending order:
50, 60, 100, 130, 140, 150, 180, 200
You've correctly identified the minimum, median and maximum values, however the quartiles are where the mistakes lie.
1. In order to calculate the first quartile, you need to look at where the median of the first half of the values is, ie. 50, 60, 100, 130
The median will be the value between (or the average of) 60 and 100:
(60 + 100)/2 = 80
Thus, the first quartile is 80.
2. In order to calculate the third quartile, we must find the median of the second half of the data set, ie. 140, 150, 180, 200
The median will be the value between (or the average of) 150 and 180:
(150 + 180)/2 = 165
Thus the third quartile is 165.
I find it's always a good idea to just draw this out and label the different values on paper to make it a bit easier.
Hope that helped! If you find anything confusing just ask :)
