Identify the third quartile in the following dataset: 53.3 46.9 48.1 49.7 52.1 47.5 47.2 45.5

Answer 1

To find the third quartile (Q3) in the dataset, first we need to arrange the data in ascending order:

45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3

The third quartile (Q3) is the median of the upper half of the data. In this case, the upper half of the data is:

48.1, 49.7, 52.1, 53.3

Since there are 4 numbers in the upper half, the median would be the average of the middle two numbers:

(49.7 + 52.1) / 2 = 51.2

Therefore, the third quartile (Q3) in the dataset is 51.2.