1. The problem asks us to estimate the number of medium oranges in the box, where medium oranges weigh between 35 grams and 55 grams. 2. From the histogram data, the frequency densities for the weight intervals within 35 to 55 grams are given as: - 35 to 40 grams: 44 - 40 to 45 grams: 44 - 45 to 50 grams: 44 - 50 to 55 grams: 36 3. To find the estimated number of medium oranges, we sum the frequency densities for these intervals: $$44 + 44 + 44 + 36 = 168$$ 4. Therefore, the estimated number of medium oranges in the box is 168. Final answer: **168 oranges**