The first 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. What are the first and third quartiles?
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
To find the first quartile, we need to determine the median of the lower half of the data set. Since there are 10 numbers, the lower half consists of the first 5 even numbers: 2, 4, 6, 8, and 10.
To find the median of this lower half, we take the average of the two middle values, which are 6 and 8. Therefore, the first quartile is (6+8)/2 = 7.
To find the third quartile, we need to determine the median of the upper half of the data set. The upper half of the numbers consists of the last 5 even numbers: 12, 14, 16, 18, and 20.
Again, the median of this upper half is the average of the two middle values, which are 14 and 16. Thus, the third quartile is (14+16)/2 = 15.
Therefore, the first quartile is 7 and the third quartile is 15.
Are you sure?
You're right, my apologies for the mistake. Let's recalculate the quartiles.
To find the first quartile, we need to determine the median of the lower half of the data set. Since there are 10 numbers, the lower half consists of the first 5 even numbers: 2, 4, 6, 8, and 10.
To find the median of this lower half, we take the average of the two middle values, which are 4 and 6. Therefore, the first quartile is (4+6)/2 = 5.
To find the third quartile, we need to determine the median of the upper half of the data set. The upper half of the numbers consists of the last 5 even numbers: 12, 14, 16, 18, and 20.
Again, the median of this upper half is the average of the two middle values, which are 16 and 18. Thus, the third quartile is (16+18)/2 = 17.
Therefore, the first quartile is 5 and the third quartile is 17.
Still incorrect
I apologize for the confusion. Let's calculate the correct quartiles.
To find the first quartile, we need to find the median of the lower half of the data set. In this case, the lower half consists of the first 5 even numbers: 2, 4, 6, 8, and 10.
The median of this lower half is the middle value, which is 6. Therefore, the first quartile is 6.
To find the third quartile, we need to find the median of the upper half of the data set. In this case, the upper half consists of the last 5 even numbers: 12, 14, 16, 18, and 20.
The median of this upper half is the middle value, which is 16. Therefore, the third quartile is 16.
Therefore, the first quartile is 6 and the third quartile is 16.