What is the first quartile of the data set 275 257 301 218 265 242 201
To find the first quartile of a data set, you need to determine the value that cuts off the lowest 25% of the data.
First, arrange the data set in ascending order:
201 218 242 257 265 275 301
Since the data set has an odd number of values, the first quartile will be the value in the middle when the data is split into two halves.
The median of the lower half is the value at position (n+1)/4 = (7+1)/4 = 2. The second value in the data set is 218, which is the first quartile.
Therefore, the first quartile of the data set 275 257 301 218 265 242 201 is 218.