Answer:

I do not know if the answer provided can help you.

Step-by-step explanation:

To find the 8th percentile, we need to determine the value below which 8% of the data falls. First, we arrange the numbers in ascending order:

13, 15, 20, 21, 23, 25, 27, 33, 34, 36

The percentile position can be calculated as:

Percentile position = (percentile / 100) × (n - 1)

where n is the total number of elements in the dataset. In this case, n = 10.

Percentile position = (8 / 100) × (10 - 1) = 0.08 × 9 = 0.72

Since the percentile position falls between two elements (0.72 is between the 0th and 1st positions), we can interpolate to find the approximate value.

To interpolate, we can take the average of the values at the 0th and 1st positions:

Value at the 0th position: 13

Value at the 1st position: 15

Interpolated value = (Value at 0th position) + (Percentile position - 0) × (Value at 1st position - Value at 0th position)

Interpolated value = 13 + 0.72 × (15 - 13) = 13 + 0.72 × 2 = 13 + 1.44 = 14.44

Therefore, the value of the 8th percentile in the given dataset is approximately 14.44.