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

Answer 1

To find the first quartile (Q1) for the given test scores, we'll follow these steps:

1. **Order the data** from least to greatest.
- The test scores are: 25, 35, 45, 50, 60, 80, 90, 95, 100.

2. **Determine the position of Q1**:
- The first quartile (Q1) is the median of the first half of the data. Since there are 9 students, the median is the 5th score in the ordered list.
- The scores are: **25, 35, 45, 50, 60, 80, 90, 95, 100**
- The first half of the data set consists of the first 4 scores: **25, 35, 45, 50**.

3. **Calculate Q1**:
- To find Q1, we find the median of the first half (25, 35, 45, 50).
- The median of these 4 scores is the average of the 2nd and 3rd values: (35 + 45) / 2 = 40.

Thus, the value of the first quartile (Q1) for this data set is **40**.