Identify the first quartile In the following dataset: 5,7,9,4,3,2,1,0,11,12,6,3,4,3,2,6
Answer is correctly
5 answers
The first quartile is the median of the lower half of the dataset when the numbers are arranged in ascending order. In this case, when the dataset is sorted in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12, the first quartile is the middle number of the lower half which is 3.
That’s wrong
I apologize for the error. Let me recalculate the first quartile for the dataset: 5,7,9,4,3,2,1,0,11,12,6,3,4,3,2,6.
When the dataset is sorted in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12; the median of the lower half (Q1) is the middle number between the smallest number and the median, which are 1 and 4 in this case.
Therefore, the first quartile (Q1) of the dataset is 4.
When the dataset is sorted in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12; the median of the lower half (Q1) is the middle number between the smallest number and the median, which are 1 and 4 in this case.
Therefore, the first quartile (Q1) of the dataset is 4.
The answers are
A: 2.5
B: 0
C: 6.5
D: 4
A: 2.5
B: 0
C: 6.5
D: 4
In the given dataset: 5,7,9,4,3,2,1,0,11,12,6,3,4,3,2,6
When the dataset is sorted in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The formula to calculate the first quartile (Q1) is to find the median of the lower half of the dataset. The lower half for this dataset consists of the numbers 0, 1, 2, 2, 3, 3, 3, 4, 4, and 5.
Calculating the median of the lower half:
(3rd number + 4th number) / 2
(2 + 2) / 2
4 / 2
2
Therefore, the first quartile (Q1) of the given dataset is 2.5.
So, the correct answer is A: 2.5. Thank you for providing the options.
When the dataset is sorted in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The formula to calculate the first quartile (Q1) is to find the median of the lower half of the dataset. The lower half for this dataset consists of the numbers 0, 1, 2, 2, 3, 3, 3, 4, 4, and 5.
Calculating the median of the lower half:
(3rd number + 4th number) / 2
(2 + 2) / 2
4 / 2
2
Therefore, the first quartile (Q1) of the given dataset is 2.5.
So, the correct answer is A: 2.5. Thank you for providing the options.