What is the first quartile of the data set below? 275, 257, 301, 218, 265, 242, 201 (1 point) Responses 201 201 218 218 257 257 270
To find the first quartile, also known as the lower quartile, we need to sort the data set in ascending order:
201, 218, 242, 257, 265, 275, 301
The first quartile is the median of the lower half of the data set. In this case, we only have 7 data points, so the lower half would be the first 3 numbers:
201, 218, 242
To find the first quartile, we take the median of these 3 numbers:
(218 + 242)/2 = 460/2 = 230
Therefore, the first quartile of the given data set is 230.