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
(1 point)
Responses
40
40
60
60
80
80
100
Answers
GPT-4o mini
To find the first quartile (Q1) of the data set, we need to follow these steps:
1. **Order the data**: Arrange the scores in ascending order.
2. **Find Q1**: The first quartile is the median of the lower half of the data (excluding the median if the number of data points is odd).
Given test scores: 35, 25, 50, 95, 80, 60, 45, 100, and 90.
**Step 1: Order the data**
Arranging the scores in ascending order, we get:
25, 35, 45, 50, 60, 80, 90, 95, 100
**Step 2: Find Q1**
There are 9 scores, which means the median (Q2) is the 5th score in the ordered list:
- Median (Q2) = 60
Now, we will find the first quartile (Q1):
The lower half of the data (excluding the median) is:
25, 35, 45, 50
To find Q1, we take the median of these 4 numbers:
- The median of 25, 35, 45, 50 is the average of the 2nd and 3rd values:
- (35 + 45) / 2 = 40
The first quartile (Q1) for the data set is **40**.
Thus, the final answer is **40**.
1. **Order the data**: Arrange the scores in ascending order.
2. **Find Q1**: The first quartile is the median of the lower half of the data (excluding the median if the number of data points is odd).
Given test scores: 35, 25, 50, 95, 80, 60, 45, 100, and 90.
**Step 1: Order the data**
Arranging the scores in ascending order, we get:
25, 35, 45, 50, 60, 80, 90, 95, 100
**Step 2: Find Q1**
There are 9 scores, which means the median (Q2) is the 5th score in the ordered list:
- Median (Q2) = 60
Now, we will find the first quartile (Q1):
The lower half of the data (excluding the median) is:
25, 35, 45, 50
To find Q1, we take the median of these 4 numbers:
- The median of 25, 35, 45, 50 is the average of the 2nd and 3rd values:
- (35 + 45) / 2 = 40
The first quartile (Q1) for the data set is **40**.
Thus, the final answer is **40**.