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)
Responses
47.05
47.05
47.8
47.8
50.9
50.9
53.3
50.9
To find the third quartile in a dataset, we need to arrange the data in increasing order.
Sorting the dataset in increasing order gives us:
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
Since there are 8 data points, the third quartile will be the median of the upper half of the dataset.
The upper half of the dataset is:
48.1, 49.7, 52.1, 53.3
To find the median of this subset, we take the average of the two middle values, which gives us:
(49.7 + 52.1) / 2 = 50.9
Therefore, the third quartile in this dataset is 50.9.