Next, place the fractions in order from least to greatest.
12
16
18
20
21
24
24
24
24
24
18
rd
The median value is the 3
value of
. We take the simplest form, so the median is
24
3
. We have found that Cary sold the median number of bars.
4
1
5
1
3
1
8
5
2
1
Example: Find the median of this list:
,
,
,
,
,
,
,
,
, 1
2
12
3
4
4
3
4
3
12
Solution: First we need to order these values from least to greatest. There are many ways to do
this. We could use a number line like the one on the previous page. Here, we will
change all of these values to a common denominator:
1
5
1
3
1
8
5
2
1
,
,
,
,
,
,
,
,
, 1
2
12
3
4
4
3
4
3
12
6
5
4
9
3
32
15
8
1
12
,
,
,
,
,
,
,
,
,
12
12
12
12
12
12
12
12
12
12
Now we place these in order from least to greatest and select the median.
1
3
4
5
6
8
9
12 15
32
,
,
,
,
,
,
,
,
,
12 12 12 12 12 12 12 12 12
12
th
th
Since there are 10 values in the list, we need to find the value that is halfway between the 5
and 6
7
values. So, the median is
.
12
Solving a Word Problem Using a Bar Diagram
We may use bar diagrams to help solve some types of problems. For example, use a bar
diagram to solve the following problem:
2
Missy had $45. She spent
of her money on a book. How much money does she have left?
5
2
Solution: The answer to the question, “What is
of $45?” gives us the amount she spent. The
5
amount she has left would be the amount left after the amount she spent is removed.
MDEV 102
p. 87