|
 |
|
|
 |
  |
 |
 |
|
 |
|
|
|
The
QUARTILE() function returns the
a specified quartile value of a range of
data points.
- The syntax for the function
is QUARTILE (array,
quart).
The argument "array"
can
be an array,
a referenced range of cells or a named
range.
However referenced cells that do not
contain values or that cannot be converted
to numeric values such as text, logical
values or empty cells will be ignored.
Note: If
the "array" is empty or values
in the "quart" argument
are not between 0 and 4, the
function will return a #NUM error.
- The "array" argument
holds the data points of the distribution.
- The "quart" argument
has a value between 0 and 4, specifying
the desired quartile.
0 |
Returns the smallest
value in the data set (0th percentile
value) |
1 |
Gives the first quartile (25th
percentile value) |
2 |
Gives the second quartile (50th
percentile or MEDIAN value) |
3 |
Gives the third quartile (75th
percentile value) |
4 |
Gives the fourth quartile (100
percentile or MAX value) |
The QUARTILE function
calculates a specific quartile value using
the "array"
data values and the selected quartile
form "quart" returning
the value to the cell.
- For example: QUARTILE({1,2,3,4,5,6,7,8,9,10},3)
= 7.75
This means that the
value of the 3rd quartile or 75th percentile
is equal to 7.75 .This is between the actual
values of the data points. However it represents
the boundray between quartile ranges. This
result defines all data points in the "array"
that are over 7.75 to be in the 3rd quartile
of the distribution.
Putting the points 8 and 9 in the 75th
percentil of values (10 is in the 4th quartile
is not included).
|
How
to use the QUARTILE() function:
- Type " =QUARTILE( "
- Enter
the coordinates of the"array"
cell "A2:A10"
- Type a comma.
- Enter
the value for the "quart",
"2".
- Type ")" then
press the "Enter" key.
|
|
|
|
The function
can also be used to find interquartile
range (the difference between the first
and third quartiles) which gives a reliable
measure of the spread of the data distribution
(ignoring extreme values).
For example: QUARTILE(({1,2,3,4,5,6,7,8,9,10},3)
- QUARTILE({1,2,3,4,5,6,7,8,9,10},1)
=
4.5
That is the difference
between the 75th and the 25th percentile
is 4.5 which gives the size of the spread
of the middle 50% percent of the data in
the distribution. Note: The interquartile
range also tells you the size of the box
in a box plot chart. |
|
 |
 |
 |
|