Question

In the sequence 55, 87, 49, 88, 33, 30, 51, which number represents the lower quartile, median, and upper quartile, respectively?

a) 33, 51, 88
b) 49, 55, 88
c) 33, 55, 87
d) 49, 88, 30

Answer 1

The lower quartile, median, and upper quartile of the given sequence are 33, 51, and 87, respectively.

Step-by-step explanation:

The question asks for the lower quartile, median, and upper quartile of the sequence 55, 87, 49, 88, 33, 30, 51. To find these, we first need to arrange the sequence in ascending order: 30, 33, 49, 51, 55, 87, 88. Now we can locate the median, which is the middle number of the sequence, and here it is 51. The lower quartile (Q1) is the median of the lower half, excluding the median of the full sequence. The lower half before the median 51 is 30, 33, 49, and the median of this lower half is 33. The upper quartile (Q3) is the median of the upper half, excluding the median of the full sequence. The upper half after the median 51 is 55, 87, 88, and the median of this upper half is 87. Therefore, the lower quartile is 33, the median is 51, and the upper quartile is 87.