Stats: Simple Weighted Means Question

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In determining weighted means, the data set (X) represents the quantities consumed, while the weights (W) correspond to the values associated with those quantities. In the given example, "meat/fish" serves as the weight, and "fat (g/oz)" is the data set used to calculate the average fat content. The formula for the weighted mean is applied by multiplying each fat value by its corresponding meat/fish weight and dividing by the total weight. Understanding this distinction is crucial for future calculations. The mean derived from this method provides the average grams of fat consumed per ounce of meat or fish.
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Hey guys, this is for an elementary statistics course. When given a problem, I am having trouble determining which is the data set (X) and which is the weight (W).

For example:

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 these:

Meat/Fish
3 oz. fried shrimp
3 oz. veal cutlet
2 oz. roast beef
2.5 oz fried chicken drumbstick
4 oz tuna

Fat (g/oz)
3.33
3.00
2.50
4.40
1.75

Would Meat/Fish be the weight, or would fat (g/oz) be the weight, and why?
 
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[Σ(meat/fish)xfat]/Σ(meat/fish) is the answer.
[10+9+5+11+7]/[3+3+2+2.5+4]
 
mathman said:
[Σ(meat/fish)xfat]/Σ(meat/fish) is the answer.
[10+9+5+11+7]/[3+3+2+2.5+4]

Yep, but I want to know for future reference how to determine which set of data should be the mean, and which set of data should be the weight.
 
I am not sure how to answer your question. In your case "fat" is the function and "meat/fish" is the weight. The mean is the answer.
 

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