In the following set of data: (1,3,5,6,7,9,100),what are the first,second,and third quartiles?
A)1,6,and 100
B)3,5,and 9
C)3,6,and 9
D)1,5,and 100

Question

Quizplus · Accepted Answer

To find the quartiles, we need to first arrange the data in ascending order: (1,3,5,6,7,9,100)
The formula for finding the first quartile (Q1) is to take the median of the lower half of the data set. In this case, the lower half is (1,3,5), so the median is 3.
The formula for finding the third quartile (Q3) is to take the median of the upper half of the data set. In this case, the upper half is (7,9,100), so the median is 9.
The formula for finding the second quartile (Q2), which is the same as the median, is to take the middle value of the data set. In this case, the middle value is 6.
Therefore, the first, second, and third quartiles are 3, 6, and 9, respectively, making choice C the correct answer.

In the Following Set of Data: (1,3,5,6,7,9,100),what Are the First,second,and