4. Box and Whisker Plot
Draw
a hand on your paper palm facing
upward.
5. Box and Whisker Plot
Draw a hand on your paper palm facing
upward.
On each finger type the following words:
Lower Extreme
1st Quartile
Median
3rd Quartile
Upper Extreme
7. Lower Extreme
(Minimum)
The lower extreme is the
number with the lowest value in
the data set.
Ex.
2, 4, 6, 8, 10 , 12,14
2 has the lowest value,
therefore, it is the lower
extreme.
8. 1st Quartile (Lower
Quartile)
The 1st quartile is where the 1st 25% of
the data falls.
There are several steps to find the first
quartile.
1. Find the median of the data set.
2. Take all of the numbers to the left
of the median and create a new
set. (Do not include the median.)
3. Find the median of the new set.
Ex.
2, 4, 6, 8, 10 , 12,14
The median is 8.
I will create a new set using all of the
numbers to the left of 8 (2, 4, 6).
I will now find the median of the new
set.
The median of (2, 4, 6) is 4. Therefore,
the 1st quartile is 4.
9. Median
The median is the middle of the data
set.
How do we find the median?
Ex.
2, 4, 6, 8, 10 , 12,14
The median is 8.
10. 3rd Quartile( Upper
Quartile)
The 3rd quartile is where the last 25% of
the data falls.
There are several steps to find the 3rd
quartile.
1. Find the median of the data set.
2. Take all of the numbers to the right
of the median and create a new
set. (Do not include the median.)
3. Find the median of the new set.
Ex.
2, 4, 6, 8, 10 , 12,14
The median is 8.
I will create a new set using all of the
numbers to the right of 8 (10, 12,14).
I will now find the median of the new
set.
The median of (10, 12, 14) is 12.
Therefore, the 3rd quartile is 12.
11. Upper Extreme
(Maximum)
The upper extreme is the
number with the highest value
in the data set.
Ex.
2, 4, 6, 8, 10 , 12,14
14 has the highest value,
therefore, it is the upper
extreme.
13. Interquartile
Range
The interquartile range is the
distance from the 1st quartile to
the 3rd quartile.
We find the interquartile range
by subtracting the 1st quartile
from the 3rd quartile.
Ex.
2, 4, 6, 8, 10, 12, 14
As previously solved, the 1st
quartile is 4 and the 3rd quartile
is 12.
12 – 4 = 8. Therefore the
interquartile range is 8.