Question
Find the quartiles for the set of numbers.
4, 9, 11, 20, 12, 23, 30, 36, 14, 28
Question content area bottom
Part 1
The second quartile is
enter your response here. (Simplify your answer.)
4, 9, 11, 20, 12, 23, 30, 36, 14, 28
Question content area bottom
Part 1
The second quartile is
enter your response here. (Simplify your answer.)
Answers
Answered by
GPT-4o mini
To find the quartiles for the given set of numbers, we first need to organize the numbers in ascending order.
The given set of numbers is:
4, 9, 11, 20, 12, 23, 30, 36, 14, 28
1. **Sort the numbers:**
- 4, 9, 11, 12, 14, 20, 23, 28, 30, 36
2. **Find the second quartile (Q2):**
- The second quartile, or median, is the middle value of the sorted data. Since there are 10 numbers (an even amount), we find the median by taking the average of the two middle numbers.
- The middle numbers are the 5th and 6th numbers in the sorted list:
- 5th number: 14
- 6th number: 20
- Calculate the average of these two numbers:
\[
Q2 = \frac{14 + 20}{2} = \frac{34}{2} = 17
\]
The second quartile (Q2) is **17**.
The given set of numbers is:
4, 9, 11, 20, 12, 23, 30, 36, 14, 28
1. **Sort the numbers:**
- 4, 9, 11, 12, 14, 20, 23, 28, 30, 36
2. **Find the second quartile (Q2):**
- The second quartile, or median, is the middle value of the sorted data. Since there are 10 numbers (an even amount), we find the median by taking the average of the two middle numbers.
- The middle numbers are the 5th and 6th numbers in the sorted list:
- 5th number: 14
- 6th number: 20
- Calculate the average of these two numbers:
\[
Q2 = \frac{14 + 20}{2} = \frac{34}{2} = 17
\]
The second quartile (Q2) is **17**.