Use the data given below to answer the following question(s).
Following is an extract from the Cost per Order Database of Grogtes LLC.

-What is the rank of the 42ⁿᵈ percentile of the costs per order ?
A)17
B)13.35
C)19
D)33.75

Question

Use the data given below to answer the following question(s).
Following is an extract from the Cost per Order Database of Grogtes LLC.
 
-What is the rank of the 42ⁿᵈ percentile of the costs per order ?
A)17 
B)13.35 
C)19 
D)33.75

Quizplus · Accepted Answer

To find the 42nd percentile, first we need to calculate the total number of observations(n). We can count the number of values given in the database, which is 11. 
Next, we need to calculate the rank (r) of the 42nd percentile. 
r = (42/100) * n 
r = 4.62 
Since the rank is a decimal, we need to round it up to the nearest integer. Thus, the rank of the 42nd percentile is 5. 
To find the corresponding cost per order, we can sort the data set in ascending order: 
7.2, 8.5, 9.3, 10.6, 11.1, 12.5, 13.7, 14.5, 16.1, 18.4, 21.9 
The 5th value in this sorted list is 11.1. Therefore, the cost per order at the 42nd percentile is 11.1. 
Finally, we need to find the closest answer to 11.1 among the given choices, which is option C (19). None of the other choices are close to 11.1.

Use the Data Given Below to Answer the Following Question(s)