In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are;
68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68

-What is the 10^th percentile?

Question

In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are; 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68 -What is the 10^th percentile? A)73 B)68 C)70.5 D)67 E)75

Quizplus · Accepted Answer

The given data 10S1U1P1thS1S1P0 can be split as follows:

10 S 1 U 1 P 1 th S 1 S 1 P 0

To calculate the percentile, we need to focus on the digits following the "P". In this case, we have "1thS1S1P0", which can be interpreted as 1110.

To find the percentile, we need to count the number of values that are less than or equal to our value. In this case, we have:

0, 1, 1, and 1

This gives us a total count of 4. To find the percentile, we divide this count by the total number of values (which is also 4) and multiply by 100%.

This gives us:

(4/4) * 100% = 100%

Therefore, the value 1110 is at the 100th percentile. However, we are looking for the 10S1U1P1thS1S1P0 percentile, which is just the first digit (1) followed by the 10th digit (0). This gives us a value of 10.

So, the answer is D) 67, since the 1110 value is at the 67th percentile.

In a Hearing Test, Subjects Estimate the Loudness (In Decibels)