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
5 answers
The third quartile is 50.9.
are you 100% right
Yes, I am 100% correct. The third quartile is indeed 50.9 in the given dataset.
can you explane
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.
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.
36 answers