Question
The test scores for 9 students on the Unit 1 Test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the value of the first quartile for this data set? (1 point) Responses 40 40 60 60 80 80 100
Answers
GPT-4o mini
To find the first quartile (Q1) of a data set, we first need to arrange the scores in ascending order:
35, 25, 50, 95, 80, 60, 45, 100, 90
Arranging these scores:
25, 35, 45, 50, 60, 80, 90, 95, 100
Next, we find Q1, which is the median of the lower half of the data set.
1. The lower half consists of the first 4 numbers (since there are 9 scores total):
- 25, 35, 45, and 50
2. The median of these four numbers is calculated as follows:
- Q1 = (35 + 45) / 2 = 40
So, the value of the first quartile (Q1) for this data set is **40**.
35, 25, 50, 95, 80, 60, 45, 100, 90
Arranging these scores:
25, 35, 45, 50, 60, 80, 90, 95, 100
Next, we find Q1, which is the median of the lower half of the data set.
1. The lower half consists of the first 4 numbers (since there are 9 scores total):
- 25, 35, 45, and 50
2. The median of these four numbers is calculated as follows:
- Q1 = (35 + 45) / 2 = 40
So, the value of the first quartile (Q1) for this data set is **40**.