To find the first quartile (Q1), we need to find the median of the lower half of the data.
The lower half of the data includes the first 13 scores:
0, 0, 1, 2, 4, 5, 5, 5, 6, 6, 6, 11, 13
Since there are 13 scores in the lower half, the median is the average of the 7th and 8th scores:
(5 + 5) / 2 = 5
So, the first quartile (Q1) is 5.
The following stem-and-leaf plot represents the test scores for 26
students in a class on their most recent test. Use the data provided to find the quartiles.
Test Scores by Student
Stem Leaves
5
0
0
1
2
4
5
5
6
6
1
3
4
5
5
7
2
2
2
3
7
9
8
2
3
3
7
8
9
9
Key: 5|0=50
Step 2 of 3 : Find the first quartile.
1 answer