Question

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 19th, 24th, 66th, and 76th percentiles. If needed, round your answers to two decimal digits.

Percentile	Value
19%
24%
66%
76%

Answer 1

Ascending order of given data is 15, 20, 25, 25, 27, 28, 30, 34

$n=8$

Percentile p%	$i=\frac{p}{100}\times n$	Value (ith observation )
19%	$i=\frac{19}{100}\times 8=1.52\approx 2$	20
24%	$i=\frac{24}{100}\times 8=1.92\approx 2$	20
66%	$i=\frac{66}{100}\times 8=5.28 \approx 6$	28
76%	$i=\frac{76}{100}\times 8=6.08 \approx 7$	30