Question

Find the Q3 of this data set (hint: because the median is between the 3 and the 4 the median is 3.5, you DO NOT ignore the 4 when finding the Q3):1, 2, 3, 4, 5, 6.

A) 4.5
B) 5
C) 5.5
D) 6

Answer 1

The third quartile (Q3) of the data set 1, 2, 3, 4, 5, 6 is calculated by finding the median of the upper half of the dataset, which is the number 5.

Step-by-step explanation:

The subject of the question is to find the third quartile (Q3) of a given data set: 1, 2, 3, 4, 5, 6. Since the median (Q2) is provided as 3.5, we know the data set has an even number of values, which divides the data set into two equal halves. To find Q3, we consider the upper half of the data which includes the numbers 4, 5, and 6. The median of this upper half is the third quartile. Thus, Q3 is the number that is in the middle of this upper half. Since we have three numbers, the middle number is 5.

Therefore, the third quartile, Q3, of this data set is 5.