ANSWER:
The 10th percentile: 27.4 pounds
The 75th percentile: 47 pounds
Step-by-step explanation:
Given:
42, 46, 31, 45, 49, 37, 47, 25, 50, 30, 48, 43, 35, 39, 29
To find:
The 10th and 75th percentiles
Step-by-step solution:
Step 1: Arrange the data in ascending order
25, 29, 30, 31, 35, 37, 39, 42, 43, 45, 46, 47, 48, 49, 50
Step 2: Use the percentile rank formula to determine the 10th percentile;

where;
p = the percentile
n = total number of items in the data set
where p = 10 and n = 15, we'll have;

Since the rank is not an integer, we'll go ahead and use the interpolation method as seen below;

Therefore, the 10th percentile is 27.4 pounds
Where p = 75 and n = 15, we'll have;

Since the rank is an integer, we can see that the 75th percentile is 47 pounds