Answer:
The 25th percentile is 248.
The 70th percentile is 700.
Step-by-step explanation:
The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.
Arrange the data set in ascending order as follows:
S = {75
, 157
, 224
, 248
, 271
, 381
, 472
, 495
, 586
, 676
, 700
, 723
, 743
, 767
, 1250}
The formula to compute the position of the pth percentile is:
Compute the 25th percentile as follows:
The 4th observation from the arranged data set is 248
.
Thus, the 25th percentile is 248.
Compute the 70th percentile as follows:
The 11th observation from the arranged data set is 700.
Thus, the 70th percentile is 700.