Answer:
- min = 18
- Q1 = 20
- median = 26
- Q3 = 30
- max = 31
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Step-by-step explanation:
The first task is to sort the items given.
The sorted set is {18, 20, 22, 26, 28, 30, 31}
There are 7 values in that set. The median is going to be in slot 4 because n/2 = 7/2 = 3.5 rounds to 4.
The value in slot 4 is 26, meaning the median is 26.
There are 3 values below the median, and 3 values above it.
L = lower set = items below the median
L = {18,20,22}
U = upper set = items above the median
U = {28,30,31}
The median of set L is 20, showing that Q1 = 20 is the first quartile.
The median of set U is 30, meaning Q3 = 30 is the third quartile.
The min and max are exactly what they sound like: they are the smallest and largest items. In this case, we have min = 18 and max = 31.