Answer :
Final answer:
For the data set (4, 3, 2, 1, 7, 57, 100), after sorting, it becomes: (1, 2, 3, 4, 7, 57, 100). The first quartile (Q1) is 2, the second quartile (Q2 or Median) is 4, and the third quartile (Q3) is 57.
Explanation:
First, to determine the first, second, and third quartiles of a set of data, you need to arrange the data in increasing order. So, given the data set (4, 3, 2, 1, 7, 57, 100), when sorted, it would be: (1, 2, 3, 4, 7, 57, 100).
The second quartile, Q2, which is also the median of the set, divides the data into two halves. In our case, there are seven numbers, so the fourth number, 4, is our median.
The first quartile, Q1, is the median of the lower half of the data (not including Q2 if the total number of data is odd). Looking at our lower half (1, 2, 3), the median is 2.
The third quartile, Q3, is the median of the upper half of the data (again not including Q2 if the total number of data is odd). In our case, the upper half is (7, 57, 100), and its median is 57.
Learn more about Quartiles here:
https://brainly.com/question/8587717
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