Question

Identify the third quartile in the following dataset: 53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5 (1 point) 53.3 47.05 47.8 50.9 expline how to get 50.9

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the third quartile, first arrange the numbers in ascending order:

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

The formula to find the third quartile is:
Q3 = (3/4) * (n+1) = (3/4) * (8+1) = (3/4) * 9 = 6.75

Since 6.75 falls between the 6th and 7th numbers in the ordered dataset, take the average of these two numbers to find the third quartile:

Q3 = (49.7 + 52.1) / 2 = 101.8 / 2 = 50.9

Therefore, the third quartile in this dataset is 50.9.