Answer: 4,175

## Explanation To calculate the 75th percentile for this dataset: **Step 1: Sort the data in ascending order:** - Week 5: $2,600 - Week 3: $2,700 - Week 2: $2,800 - Week 1: $3,800 - Week 6: $4,300 - Week 4: $9,900 **Step 2: Determine the position for the 75th percentile** For a dataset with n=6 observations, the position for the p-th percentile is calculated as: Position = (n + 1) × p = (6 + 1) × 0.75 = 7 × 0.75 = 5.25 **Step 3: Interpolate between the 4th and 5th observations** The position 5.25 means we need to interpolate between: - 4th observation: $3,800 - 5th observation: $4,300 **Step 4: Calculate the weighted average** q₇₅ = (1 - 0.25) × 3,800 + 0.25 × 4,300 = 0.75 × 3,800 + 0.25 × 4,300 = 2,850 + 1,075 = 4,175 Therefore, the 75th percentile profit is **$4,175**.

Author: Tanishq Prabhu