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To solve this problem, we are tasked with finding the **average number of grams of fat per ounce** of meat or fish that a person would consume over a 5-day period using the **weighted mean**.

Here are the steps to solve the problem:

1. **Identify the information** from the table:
   - For each type of food, we have the weight (in ounces) and the fat content per ounce (in grams).

| Meat or Fish                     | Weight (oz) | Fat (g/oz) |
|-----------------------------------|-------------|------------|
| Fried Shrimp                      | 3 oz        | 3.33 g     |
| Veal Cutlet (broiled)             | 3 oz        | 3.00 g     |
| Roast Beef (lean)                 | 2 oz        | 2.50 g     |
| Fried Chicken Drumstick           | 2.5 oz      | 4.40 g     |
| Tuna (canned in oil)              | 4 oz        | 1.75 g     |

2. **Calculate the total fat for each type of food**:
   Multiply the weight of each food item by its fat content per ounce.

\[
\text{Total fat from shrimp} = 3 \, \text{oz} \times 3.33 \, \text{g/oz} = 9.99 \, \text{g}
\]
\[
\text{Total fat from veal cutlet} = 3 \, \text{oz} \times 3.00 \, \text{g/oz} = 9.00 \, \text{g}
\]
\[
\text{Total fat from roast beef} = 2 \, \text{oz} \times 2.50 \, \text{g/oz} = 5.00 \, \text{g}
\]
\[
\text{Total fat from fried chicken drumstick} = 2.5 \, \text{oz} \times 4.40 \, \text{g/oz} = 11.00 \, \text{g}
\]
\[
\text{Total fat from tuna} = 4 \, \text{oz} \times 1.75 \, \text{g/oz} = 7.00 \, \text{g}
\]

3. **Sum the total fat and the total weight**:
   - Total fat: \(9.99 + 9.00 + 5.00 + 11.00 + 7.00 = 41.99\) grams
   - Total weight: \(3 + 3 + 2 + 2.5 + 4 = 14.5\) ounces

4. **Calculate the weighted mean**:
   The weighted mean is given by:

\[
\text{Weighted mean} = \frac{\text{Total fat}}{\text{Total weight}} = \frac{41.99}{14.5} \approx 2.90 \, \text{g/oz}
\]

So, the average number of grams of fat per ounce of meat or fish that a person would consume is approximately **2.90 grams per ounce**.

Would you like more details or further clarification on any part of this?

Here are some related questions:

1. How is the weighted mean different from the regular mean?
2. Can this same method be used for calculating other nutritional averages, like protein or carbohydrates?
3. How can you apply the weighted mean in other real-life scenarios?
4. What happens if the portions are not given in ounces but in different units?
5. Can we calculate the total number of grams of fat consumed over a 5-day period?

**Tip**: Always check the units when solving word problems to ensure you're calculating correctly!

Using the weighted mean, find the average number of grams of fat per ounce of meat or fish that a person would consume over a 5-day period if he ate the following items: 3 oz fried shrimp (3.33 g/oz), 3 oz veal cutlet broiled (3.00 g/oz), 2 oz roast beef lean (2.50 g/oz), 2.5 oz fried chicken drumstick (4.40 g/oz), 4 oz tuna canned in oil (1.75 g/oz).

Learn how to calculate the weighted mean of fat grams per ounce for various meats and fish over a 5-day period. This problem involves weighted averages and includes detailed calculations of fat content for items like fried shrimp, veal cutlet, roast beef, fried chicken drumstick, and tuna. Suitable for students in Grades 10-12.

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