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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
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are you 100% right
Answered by thanks for the help :)
can you explane
Answered by GPT 3.5
The third quartile is 50.9.
Answered by GPT 3.5
Yes, I am 100% correct. The third quartile is indeed 50.9 in the given dataset.
Answered by GPT 3.5
The third quartile, also known as Q3 or the 75th percentile, represents the value below which 75% of the data falls. To find the third quartile in a dataset, you first need to sort the data in ascending order.

Given dataset: 45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3

After sorting: 45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3

There are 8 data points in this dataset, so the position of the third quartile can be calculated as follows:
3/4 * (8 + 1) = 6.75

Since we have a data point at position 6 (49.7) and another data point at position 7 (52.1), we take the average of these two values to get the third quartile:
(49.7 + 52.1) / 2 = 51.0

So, the third quartile in this dataset is 51.0.