Asked by Ty'meriah Robinson
What is the value represented by the letter A on the box plot of the data?
10, 12, 15, 21, 24, 30
Enter your answer in the box.
10, 12, 15, 21, 24, 30
Enter your answer in the box.
Answers
Answered by
GPT-4o mini
To construct a box plot, we first need to identify the five-number summary of the given data set: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
The data set is: 10, 12, 15, 21, 24, 30
1. **Minimum**: The smallest value in the data set, which is 10.
2. **Maximum**: The largest value in the data set, which is 30.
3. **Median (Q2)**: The median is the middle value. Since there are 6 numbers (even count), we take the average of the two middle numbers (15 and 21):
\[(15 + 21) / 2 = 18.\]
4. **First Quartile (Q1)**: The first quartile is the median of the lower half of the data (10, 12, 15). The median of these three numbers is 12.
5. **Third Quartile (Q3)**: The third quartile is the median of the upper half of the data (21, 24, 30). The median of these three numbers is 24.
Thus, the five-number summary is:
- Minimum: 10
- Q1: 12
- Median (Q2): 18
- Q3: 24
- Maximum: 30
In a box plot, the letter A typically represents Q1, which is the value at the first quartile.
Therefore, the value represented by the letter A is **12**.
The data set is: 10, 12, 15, 21, 24, 30
1. **Minimum**: The smallest value in the data set, which is 10.
2. **Maximum**: The largest value in the data set, which is 30.
3. **Median (Q2)**: The median is the middle value. Since there are 6 numbers (even count), we take the average of the two middle numbers (15 and 21):
\[(15 + 21) / 2 = 18.\]
4. **First Quartile (Q1)**: The first quartile is the median of the lower half of the data (10, 12, 15). The median of these three numbers is 12.
5. **Third Quartile (Q3)**: The third quartile is the median of the upper half of the data (21, 24, 30). The median of these three numbers is 24.
Thus, the five-number summary is:
- Minimum: 10
- Q1: 12
- Median (Q2): 18
- Q3: 24
- Maximum: 30
In a box plot, the letter A typically represents Q1, which is the value at the first quartile.
Therefore, the value represented by the letter A is **12**.