Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6
Responses
0
6.5
2.5
4
Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6(1 point)
Responses
0
6.5
2.5
4
To find the first quartile (Q1) in a dataset, you first need to arrange the data in ascending order. Then you find the median of the lower half of the data set.
Given dataset: 5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6
Arranged in ascending order: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Lower half of the data set: 0, 1, 2, 2, 3, 3, 3, 4
Since there are 8 values in the lower half, the median of the lower half would be the average of the 4th and 5th values.
(2 + 3) / 2 = 2.5
So, the first quartile of the dataset is 2.5.
The first quartile is the median of the lower half of the dataset.
The dataset sorted from least to greatest: 0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The lower half of the dataset is: 0, 1, 2, 2, 3, 3, 3, 4
The median of the lower half is (3+3)/2 = 3
Therefore, the first quartile of the dataset is 3.