Question

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 22nd, 27th, 59th, and 69th percentiles. If needed, round your answers to two decimal digits.

Percentile	Value
22%
27%
59%
69%

I have gotten to this point but can not figure out the values from these numbers

22% .22*8=1.76

27% .27*8=2.16

59% .59*8=4.72

69% .69*8=5.52

Answer 1

Answer :

Given data : -

a sample with data values are

= ( 27,25,20,15,30,34,28,25)

n = 8

now we need to find out the percentile of the p(22, 27, 59, 69) is ....?

the above given data we should create to the order

then it is,

(15,20,25,27,28,30,34)

now we find out the probabilities of (22, 27, 59, 69)

we know that,

Percentile 22% = 22/100

= 0.22

= p*n

= 0.22*8

=1.76

then,

Percentile 27% = 0.27*8

= 2.16

Percentile 59% = 0.59*8

= 4.72

Percentile 69% = 0.69*8

= 5.52

Percentile	Value
22%	1.76
27%	2.16
59%	4.72
69%	5.52