The following stem-and-leaf plot represents the prices in dollars of general admission tickets for the last 26
concerts at one venue. Use the data provided to find the quartiles.
Ticket Prices in Dollars
Stem Leaves
3
0
1
1
2
5
5
6
4
0
1
2
3
5
6
7
7
5
2
2
4
4
6
3
4
5
6
6
7
9
Key: 3|0=30
Step 2 of 3 : Find the first quartile.
is the answer 32
To find the first quartile, we need to find the median of the lower half of the data set.
The data set is: 11, 12, 14, 15, 20, 22, 23, 24, 25, 25, 26, 30, 32
The lower half of the data set is: 11, 12, 14, 15, 20, 22
The median of the lower half is the average of the two middle numbers, which are 14 and 15.
(14 + 15) / 2 = 29 / 2 = 14.5
So, the first quartile is $14.5.