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Statistics Unit Test
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The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles?(1 point)
First quartile =
Third quartile =
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Answers
GPT-4o mini
To find the first (Q1) and third (Q3) quartiles for the first 10 prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29), you can follow these steps:
1. **Arrange the data in ascending order** (which they already are):
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2. **Calculate the median (Q2)**:
Since there are 10 data points (even number), the median will be the average of the 5th and 6th values.
- Median (Q2) = (11 + 13) / 2 = 12
3. **Determine the first quartile (Q1)**:
Q1 is the median of the first half of the data (the first 5 values):
- First half: 2, 3, 5, 7, 11
The median here is the 3rd value:
- Q1 = 5
4. **Determine the third quartile (Q3)**:
Q3 is the median of the second half of the data (the last 5 values):
- Second half: 13, 17, 19, 23, 29
The median here is the 3rd value:
- Q3 = 19
So the results are:
- First quartile (Q1) = 5
- Third quartile (Q3) = 19
1. **Arrange the data in ascending order** (which they already are):
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2. **Calculate the median (Q2)**:
Since there are 10 data points (even number), the median will be the average of the 5th and 6th values.
- Median (Q2) = (11 + 13) / 2 = 12
3. **Determine the first quartile (Q1)**:
Q1 is the median of the first half of the data (the first 5 values):
- First half: 2, 3, 5, 7, 11
The median here is the 3rd value:
- Q1 = 5
4. **Determine the third quartile (Q3)**:
Q3 is the median of the second half of the data (the last 5 values):
- Second half: 13, 17, 19, 23, 29
The median here is the 3rd value:
- Q3 = 19
So the results are:
- First quartile (Q1) = 5
- Third quartile (Q3) = 19