Arrange the numbers smallest to largest:
#1 = 1.9
#2 = 2.0
#3 = 2.1
#4 = 2.9
#5 = 3.1
#6 = 3.4
#7 = 4.7
#8 = 5.0
#9 = 5.4
#10 = 6.8
There are 10 numbers in the list
To find
, which is called "the 25th percentile",
or "the 1st quartile"
Multiply
by
, getting
Since that is not a whole number, we round up to 3.
So data value #3 is
.
So
,
------------------
To find
, which is called "the median", "the
50th percentile", or "the 2nd quartile"
Multiply
by
, getting
Since that is a whole number, we find the ordinary
average of data values #5 and #6:
So
,
------------------
To find
, which is called "the
75th percentile", or "the 3rd quartile"
Multiply
by
, getting
Since that is not a whole number, we round up to 8.
So data value #8 is
.
So
Edwin