Question

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 19th, 24th, 60th, and 70th percentiles.

If needed, round your answers to two decimal digits.

Percentile 19% 24% 60% 70%

Value for percentile?

Answer 1

(a)

Given Sample:

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

To find 19th Percentile

Answer: 20.00

Explanation:

Step 1:
Arranging the data in ascending order:

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

Step 2:
Calculate index i is given by:

Step 3: Since Index i is not integer: Round up.

So, we get:

i = 2

Step 4:

19th Percentile is value of 2nd position = 20

(b)

Given Sample:

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

To find 24th Percentile

Answer: 20.00

Explanation:

Step 1:
Arranging the data in ascending order:

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

Step 2:
Calculate index i is given by:

Step 3: Since Index i is not integer: Round up.

So, we get:

i = 2

Step 4:

24th Percentile is value of 2nd position = 20

(c)

Given Sample:

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

To find 60th Percentile

Answer: 27.00

Explanation:

Step 1:
Arranging the data in ascending order:

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

Step 2:
Calculate index i is given by:

Step 3: Since Index i is not integer: Round up.

So, we get:

i = 5

Step 4:

60th Percentile is value of 5th position = 27

(d)

Given Sample:

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

To find 70th Percentile

Answer: 28.00

Explanation:

Step 1:
Arranging the data in ascending order:

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

Step 2:
Calculate index i is given by:

Step 3: Since Index i is not integer: Round up.

So, we get:

i = 6

Step 4:

70th Percentile is value of 6th position = 28