The following are the annual salaries of 20 chief executive officers of major companies. (The salaries are written in thousands of dollars.) 181, 700, 723, 542, 224, 134, 1250, 381, 204, 495, 814, 362, 767, 428, 609, 271, 633, 315, 790, 338
Find 25th and 90th percentiles for these salaries.

Step-by-step explanation:

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  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.